There are 12 workers that made 8,191 skittles. Each miniature pack of skittles holds 8 skittles. How many miniature packs of skittles could be made? If each large pack holds 50 skittles, how many large packs could be made? How many skittles would be leftover when manufacturing the large packs? How many skittles would be leftover when manufacturing the miniature packs?

The fourth grade students at Riley School are going to a county fair. A ticket costs $3.34 including tax. There are 95 students and 8 adults. The adults will supervise the students. Each adult should supervise about the same number of students. How many students will each of the 8 adults supervise?

• Max has 6 friends over to sleep over for the night. They all want gum, and Max wants some too. Max’s mom has two 24 stick packs of gum. How many sticks of gum will each boy get? Max’s mom will keep the rest. How many does she keep?

• One boy got sick and went home he left his 6 sticks of gum. Max’s mom said to share them equally. If the mom gets the extras, how many will each boy get? How many will mom get?

Dave has $149 that earned by doing chores like cleaning the garage for his dad. It took him two hours to clean the garage to his Dad’s standard.  Dave wants to buy as many PS2 (PlayStation 2) games as he can. Each new game costs $21 and a used game costs $10.50 and sales tax is 10% of the cost of the items. 
He wants to buy 4 new games and three used games. Can he buy those? And what is the cost of all the items?
Dave also wants to know how many used games could he buy for the cost of 1 new game? 

28 books need to be read for Camp Books-a-Lot. There are 4 people in Claire’s group. The girls, Claire, Jen, Sally, and Emily, want to read all 28 books before the quiz. But, Jen says she can only read 3 books because she’s going to New York. How many books do the three other girls have to read so all 28 books can be read?

Eighty-three students are going to be in fourth grade next year in 2008. There are 4 classrooms at Riley School. They are rooms 212, 214, 216, & 218. Each teacher wants approximately the same number of student in a classroom.
Do all of the classrooms have the same number of students? How many students are in each classroom?

There are 97 people who live in Camel Grove. Lately, their population has been decreasing because people have moved to Chicago Heights. Five hundred people live in Chicago Heights. Four people move from Camel Grove to Chicago Heights each week. If this pattern continues, how many weeks will it take for Camel Grove’s population to hit zero?  How many people will move the final week before Camel Grove has zero population?

The fourth-grade students at Edgar Allen Poe School are going to a zoo. They are going by bus. There are 170 students and 5 teachers. Only 3 students can fit on a bus seat. There are 22 seats on a bus.
How many seats will they need and will there be enough seats on one bus? How many buses will be needed and how many seats on each bus will be filled if the students are to be evenly divided among the busses.

To determine how to find the answer to the problem with the miniature packs, you should divide 8,191 into 8 (the number of skittles that fit into each miniature pack). The answer should be 1,023 packs of skittles with 7 leftover skittles.

To determine how many large packs of skittles you should divide the 8,191 skittles into 50 (the numbre of skittles that fit into the large pack). The answer should be 163 packs with a remainder of 41 skittles. The two remainders should be 41 and 7 skittles.

First, you have to divide 95 by 8 = 11 R7 which means each adult will for sure supervise 11 students. There are 7 students left over. One left over student will go to each adult, but 1 adult will not get 1 of the extra students. which means the answer is 7 adults supervise 12 students and 1 adult will supervise 11 students.

1. First I know there are 7 boys, and the mom gave them two 24 packs of gum. So 24 +24 = 48 and there are 7 boys, so 48 divided by 7 = 6 R6 so each boy will get 6 sticks, and the mom gets the remainder which is 6.

2. One boy goes home and he left his 6 sticks of gum. If they divide the sticks of gum how many will each boy get? How many will the mom get?

4*$21 =$84
3*10.50 = $31
$84 + $31 = 115
$21 divided by $10.50 = 2

1.Yes, he can buy 4 new games and 3 used games.
2.The cost of all the items is $127.05.
3.You can buy 2 used games for the cost of 1 new game.

To find out how many books the three girls needed to read, I had to subtract the three books that Jen was able to read from the 28 books that the three other girls needed to read. I did this because I wanted to find out how many books do I divide by the other three girls. My total of books was 25. Next, I divided 25 books by the three people who could read them. I did this because, I wanted to find out how many books the three other girls had to read to finish all 25 books. My answer was 8 books with a remainder of one book nobody read. So my answer is Emily and Sally read 8 books, Claire read 9 books, and Jen read 3 books.

28 - 3 = 25    25 divided by 3 = 8 R1 book

• Not all classrooms have the same amount of students.  Since there are 83 students and 4 classrooms each class will for sure have 20 students.  Since 83 does not fit equally go in 4, there are 3 students that do not fit evenly into 4 classrooms.  In order for all students to be in a classroom, 3 out of 4 classrooms will have an extra student.

• Each class will for sure have 20 students. Three out of four of the classrooms will have 1 extra student (21 students,) leaving the other classroom with only 20 students.

83 divided by 4 = 20 R3

97 divided by 4 = 24 R1     

97 divided by 4 because 4 people move from Camel Grove to Chicago Heights each week and there were originally 97 people in Camel Grove. Now we know that the answer is that it will take 25 weeks for every one to move and Camel Grove’s population to hit zero because on the final week (week 25) there are still one person left to move. Now we know that the answer is there will be one person moving from Camel Grove to Chicago Heights during week 25.

To find the number of people on the trip, add the number of students (170) and the number of teachers (5) to make a total of 175 people. With three people to a seat each bus with 22 seats holds 66 people. There are more people than 66, so there won’t be enough space to fit all the students on one bus. Two busses will hold 132 students, leaving 43 students for a third bus. To evenly divide the 175 people among the three busses, To find out how many rows in the third bus, divide 43 by 3 to get 14 seats plus one student who would sit alone. Next, add all the seats used (22 + 22 + 15 = 59) to find how many seats are needed in all three busses 59 seats with 3 people in a seat.  Divide the 59 by 3 to evenly place the students on the busses. One with 19 seats. filled and two busses with 20 seats filled.

Scenario
You sign up for military school and the leader asks you what gun, suit, and vehicle you want. Your gun choices are a flamethrower, a rocket launcher, or 2 pistols. Your uniform choices are camouflage, dragonskin, or a pilot suit. Your vehicle choices are a tank, a jeep, and a helicopter. You cannot have a flamethrower and dragonskin because dragonskin is easy for fire to burn up. You also cannot have a pilot uniform with a tank because bombers may select you as their target. How many different combinations could you have? List the possible amount of combinations using a tree diagram.
Answer: 25 combinations if you exclude the two combinations you cannot have

Scenario
Ryan and his dad on their way to the Cub’s game at Wrigley field. On their way to the game they were discussing Derek Lee, Mark DeRosa, and Mike Barret. They were curious to find out how many different lineups Lou Pinella could use for first base at the beginning of a game over the next three series using these three players. The players are Derek Lee, Mark DeRosa, and Mike Barret. The beginning of the game is the first three innings. There are three fields these three players can play at. The fields are, Wrigley field, U.S. Cellular Park, and Yankee stadium, but there are some problems. First, Derek won’t play at Yankee stadium. Second, Mike Barret won’t play well in the first inning. Last, Mark DeRosa always gets nervous at U.S. Cellular Park. How many combinations are possible? List the possible combinations using a tree diagram.
Answer- 27 combinations, but with the exclusions there are 24 combinations.

Scenario
         Jack is going to school. His mom laid out all of his clothes. He has jeans, sweatpants, shorts, a tank top, short sleeves, long sleeves, a raincoat, winter coat, or no coat. He can’t wear two of any pants, shirt, or coat. He can’t wear any shorts, tank top, and winter coat.
Answer: 27 combos minus 1 restrictions is 26 combos

Scenario
Chris is at a store called Videogames Galore on a Sunday morning and the store is located in the Chicago suburbs. You buy the games by choosing the rating of the game E, E10+ or T, the theme of the game violence, adventure or sports and the system it plays on Playstation 2, Gamecube or Gameboy. The problem is that the store doesn’t have a T-rated violence themed game for Gameboy. How many combinations can Chris buy if he can’t buy a T-rated violence themed game for Gameboy?
Answer There are 27 combinations but Chris can only buy 26.    

Scenario
          Wendy is going to a party and she needs her hair to look good. She decides to go to Jay’s Hair For Bears. Wendy can change her hair color, her hairstyle, and her accessories. Her choices of hair color include pink, yellow, and orange. The styles are French braids, curls, or just straight hair. Wendy’s accessories can be barrettes, ponytails, or hair spray. However, Wendy doesn’t want her hair to be orange with barrettes or pink hair with curls.  Give the number of combinations that Wendy could use. List the possible combinations without having curly pink hair or orange hair with barrettes. List the combinations in a tree diagram.
Answer:
Wendy’s total combination is 27.
Possible combinations with out curly pink hair and orange hair  with barrettes is 21.

Scenario
Joey is having an end of the school year party. He needs to decide what place to buy it from: Nino’s, Pizza Hut, or Lou Malnati’s. He also has to choose a type of crust: Thick crust, thin crust, or butter crust. Last, Joey needs to decide what one topping he wants on his pizza: Pepperoni, sausage, or olives. Joey decides that he doesn’t want to buy Lou’s thick crust with olives. How many choices of pizza does Joey have?  List the possible combinations using the tree diagram.
Answer
There are 26 combinations of pizza and 27 combinations in all if Joey decided to include Lou’s thick crust with olives.

Scenario
Bob’s family is hungry. They are in the mood for ice cream. The choices of restaurants are Oberweiss, Dairy Queen, and Baskin Robins. The choices of ice cream that Bob’s family want to pick from are chocolate, strawberry, and vanilla ice cream. The choices of toppings are chocolate sauce, m and m’s, and strawberry sauce. Bob’s family agreed that if any of them choose chocolate ice cream, they would not choose chocolate sauce and if any of them chooses strawberry ice cream they would not choose strawberry sauce.
Answer There are 21 combinations to choose from

Scenario
Nijola was by three pet shops and remembered her pet died because of old age. The pet shops there had many kinds of pets three to exact. Their names are Santo’s pet shop; awesome animals pet shop, and animal kingdom pet shop. All three of them had bunnies, hamsters, and dogs. There colors are black, brown, and gold, but the Santo’s pet shop does not sell black rabbits because they bite. Also, the animal kingdom does not sell brown dogs because they are vicious. List the possible combinations on the tree diagram.
Answer There are 27 possible. Without the Santo’s bunnies and animal kingdom’s dogs there would be 25 combinations.

Scenario
         Mrs. Jennie was at the Planting Store, looking for flowers and soil. She had 3 types of flowers and soil. She had choices of
 dry soil, nutrient soil, and regular soil. Mrs. Jennie had 3 flower choices. They were marigolds, sunflowers, and roses. Though, Mrs. Jennie cannot select roses and dry soil because roses need the nutrients or regular soil. Marigolds do not need nutrient-rich soil. How many combinations are there?
Answer: 7 combinations with the restrictions; 9 without them.

Scenario
Tom was looking for a place to eat. His choices are Bob Chins, a steakhouse, or at home. Tom also wants to eat a normal lunchtime, breakfast, or dinner meal. He wants to eat steak, shrimp, or salmon. Tom though does not want to eat steak at home or shrimp at a steak house.  List the possible combinations on the tree diagram.
Answer: There are 27 possible choices but with the exclusions of steak at home and shrimp at a steakhouse there’s only 21 combinations.

Scenario
         Lindsey wants to get her nails done for her musical. She has to pick her color, pattern, and her designs. Her color choices are pink, purple, and blue. Her pattern choices are polka dots, plain, or stripes. Her design choices are stickers and gems and she has only one restriction to not mix stripes and gems. Using a tree diagram list the possible combinations of manicure for Lindsey can use. Including the restrictions how many combinations are there?
Answer:  There are 18 possibilities. You can only do 15 combinations. 

Scenario
 Alex went skydiving in Australia and had 3 choices on how he could fall from the plane. He could use a parachute, a paraglider , or doubles with an instructor. Alex decided he didn’t want to fall doubles so he was left with 2 choices--parachute or paraglide. After he chose which way he wanted to fall out of the plane, he had to make a choice on the size of the parachute or paraglider (a small a medium , or large). Once he decided upon the size, he was able to chose a design or color. His choices were white, red or checkerboard. What are the possible combinations he could use when he went skydiving?
Answer: Alex had 18 possible choices without  doubles and 27 with doubles.

Scenario
Ted crashes his bike and he needs a new one. He could get a
unicycle, tricycle, or bicycle. He can also get accessories on whatever
he buys which are a bell, basket, or training wheels. Also, the three
accessories come in three different colors: red, blue, and green. There are specific conditions though because a unicycle can’t have a basket and a tricycle can’t have training wheels.
Answer There are 21 combinations with the restrictions and 27 without them.

Scenario
Brooke wants to buy some new clothes for summer vacation.  She needs to pick out as many pairs as possible. There are three sections of the shop that she needs to choose from: tops, blue pants and color. In the tops section of the store, she can buy tank tops, short sleeve, and long sleeves. In the pants section, she can buy shorts, caprise, and long pants. In the color section, there is pink, green and purple. Brooke says it’s too warm to wear long sleeves with long pants, and caprise. How many outfits can she buy for summer vacation?
Answer: 21 outfits are possible with the restrictions of Brooke.

Scenario
Jon went to an ice cream shop after a hot day at camp. There are four different kinds of ice cream, vanilla, chocolate, strawberry, and sherbet. After he chooses his type of ice cream he has to choose his cone. The choices for the cones are a cake cone, a sugar cone, and a waffle cone. Then to finish he gets to choose what topping he wants. The toppings are sprinkles, M&M’s, syrup, or no topping. Jon doesn’t like chocolate ice cream. Give the number of combinations possible if Jon doesn’t eat chocolate ice cream. List the possible combinations using a tree diagram.
Answer There are forty-eight combinations possible. If Jon won’t eat chocolate ice cream there are thirty-six combinations.

Scenario
Brendan wants to do something on Saturday. He wants to play basketball, build legos, or go on the computer. He can do it with a friend, by himself, or with his sister. Brendan can play for 4 hours, 5 hours, or 6 hours. Brendan can’t play basketball or build legos with a friend for 6 hours. Brendan also can’t go on the computer by himself for 5 hours. How many combinations can Brendan do? List the combinations on a tree diagram.
Answer: 24 combinations if you exclude the three not possible combinations.