10. Problem Solving Strategies

1. Denise is having a party. She orders 5 pizzas with 8 slices each. If there are 20 people at the party altogether how many slices does each person get if the pizza is shared equally?

2

3

40

4

Each pizza has 8 slices, and Denise orders 5 pizzas, so there are a total of 8 x 5 = 40 slices. Since there are 20 people at the party, each person will get 40 / 20 = 2 slices.

Explanation

Each pizza has 8 slices, and Denise orders 5 pizzas, so there are a total of 8 x 5 = 40 slices. Since there are 20 people at the party, each person will get 40 / 20 = 2 slices.

2. If 152 different people came to a puppet show every day for 34 days, how many people saw the show?

1,164

4,560

5,168

6,530

If 152 different people came to a puppet show every day for 34 days, we can calculate the total number of people who saw the show by multiplying the number of people who came each day (152) by the number of days (34). This gives us 152 x 34 = 5,168. Therefore, 5,168 people saw the show.

Explanation

If 152 different people came to a puppet show every day for 34 days, we can calculate the total number of people who saw the show by multiplying the number of people who came each day (152) by the number of days (34). This gives us 152 x 34 = 5,168. Therefore, 5,168 people saw the show.

3. Vanessa pitched 5/9 of a softball game. Alicia pitched 2/9 of the game. Which expression shows how much more of the game Vanessa pitched than Alicia?

5/9 + 2/9

5/9 - 2/9

1 - 5/9

The expression 5/9 - 2/9 shows how much more of the game Vanessa pitched than Alicia. By subtracting the fraction representing the portion of the game Alicia pitched (2/9) from the fraction representing the portion of the game Vanessa pitched (5/9), we can determine the difference between the two fractions, which represents how much more Vanessa pitched than Alicia.

Explanation

The expression 5/9 - 2/9 shows how much more of the game Vanessa pitched than Alicia. By subtracting the fraction representing the portion of the game Alicia pitched (2/9) from the fraction representing the portion of the game Vanessa pitched (5/9), we can determine the difference between the two fractions, which represents how much more Vanessa pitched than Alicia.

4. Liam uses 4/8 gallon of grape juice, 5/8 gallon of orange juice, and 1/8 gallon of pineapple juice in his fruit punch. Which lists the juice amounts from greatest to least?

Orange, grape, pineapple

Orange, pineapple, grape

Pineapple, grape, orange

Pineapple, orange, grape

The given question asks for the juice amounts from greatest to least. In the fruit punch, Liam uses 5/8 gallon of orange juice, which is the largest amount. Then, he uses 4/8 gallon of grape juice, which is smaller than the orange juice. Finally, he uses 1/8 gallon of pineapple juice, which is the smallest amount. Therefore, the correct order from greatest to least is orange, grape, pineapple.

Explanation

The given question asks for the juice amounts from greatest to least. In the fruit punch, Liam uses 5/8 gallon of orange juice, which is the largest amount. Then, he uses 4/8 gallon of grape juice, which is smaller than the orange juice. Finally, he uses 1/8 gallon of pineapple juice, which is the smallest amount. Therefore, the correct order from greatest to least is orange, grape, pineapple.

5. Dan ran 3.5 miles and Mary ran 2.8 miles. Brian ran more miles than Dan, but not as many as Karen. Who ran the least distance?

Dan

Mary

Brian

Karen

Based on the information given, it is stated that Brian ran more miles than Dan, but not as many as Karen. Since Mary's distance is not compared to anyone else's, it can be inferred that Mary ran the least distance among all of them.

Explanation

Based on the information given, it is stated that Brian ran more miles than Dan, but not as many as Karen. Since Mary's distance is not compared to anyone else's, it can be inferred that Mary ran the least distance among all of them.

6. Tricia is 6 3/4 years old. Laurie is 6 1/2 years old. Jim is 6.25 years old. Mark is 6.5 years old. Which two children are the same age?

Tricia and Mark

Laurie and Jim

Tricia and Jim

Laurie and Mark

Laurie and Mark are the same age because both of them are 6.5 years old. This can be determined by converting their ages to a common fraction. Tricia is 6 3/4 which is greater than 6.5, and Jim is 6.25 which is less than 6.5. Therefore, the only two children who are the same age are Laurie and Mark.

Explanation

Laurie and Mark are the same age because both of them are 6.5 years old. This can be determined by converting their ages to a common fraction. Tricia is 6 3/4 which is greater than 6.5, and Jim is 6.25 which is less than 6.5. Therefore, the only two children who are the same age are Laurie and Mark.

7. Jill bought some buttons. Of those buttons, 5/10 are green, 3/10 are square, and 7/10 are wooden. Which shows the buttons ordered from least to greatest?

Wooden, square, green

Green, square, wooden

Square, green, wooden

Wooden, green, square

The buttons are ordered from least to greatest based on the given information. First, the square buttons are mentioned, followed by the green buttons, and finally the wooden buttons.

Explanation

The buttons are ordered from least to greatest based on the given information. First, the square buttons are mentioned, followed by the green buttons, and finally the wooden buttons.

8. Tessa rides her bike 2.2 miles to school. Jeff rides 2.7 miles. Dawn rides 2 1/5 miles. Dave rides 2 3/5 miles to school. Which two students ride the same distance?

Tessa and Dave

Dawn and Jeff

Tessa and Dawn

Jeff and Dave

Tessa rides her bike 2.2 miles to school and Dawn rides 2 1/5 miles. To compare their distances, we need to convert Dawn's distance to a decimal. 2 1/5 is equivalent to 2.2. Therefore, Tessa and Dawn ride the same distance of 2.2 miles.

Explanation

Tessa rides her bike 2.2 miles to school and Dawn rides 2 1/5 miles. To compare their distances, we need to convert Dawn's distance to a decimal. 2 1/5 is equivalent to 2.2. Therefore, Tessa and Dawn ride the same distance of 2.2 miles.

9. Jen and Julia each brought 3 3/4 cups of snack mix to a party. How much snack mix did they bring in all?

7 1/2 cups

6 3/4 cups

6 1/2 cups

4 1/2 cups

Jen and Julia each brought 3 3/4 cups of snack mix to the party. To find out how much snack mix they brought in all, we need to add their quantities together. Adding 3 3/4 cups and 3 3/4 cups gives us a total of 7 1/2 cups. Therefore, the correct answer is 7 1/2 cups.

Explanation

Jen and Julia each brought 3 3/4 cups of snack mix to the party. To find out how much snack mix they brought in all, we need to add their quantities together. Adding 3 3/4 cups and 3 3/4 cups gives us a total of 7 1/2 cups. Therefore, the correct answer is 7 1/2 cups.

10. The total value of 3 dimes and 3 nickels is divided equally among 9 people. How much money does each person receive?

$0.05

$0.06

$0.10

Each dime is worth $0.10 and each nickel is worth $0.05. Since there are 3 dimes and 3 nickels, the total value is (3 x $0.10) + (3 x $0.05) = $0.30 + $0.15 = $0.45. If this amount is divided equally among 9 people, each person would receive $0.45 / 9 = $0.05. Therefore, the correct answer is $0.05.

Explanation

Each dime is worth $0.10 and each nickel is worth $0.05. Since there are 3 dimes and 3 nickels, the total value is (3 x $0.10) + (3 x $0.05) = $0.30 + $0.15 = $0.45. If this amount is divided equally among 9 people, each person would receive $0.45 / 9 = $0.05. Therefore, the correct answer is $0.05.

10 Problem Solving Strategies