Andy, Gale, Jones, Matt & David stop for pizza.

Question

Andy, Gale, Jones, Matt & David stop for pizza. The boys decide to order the same type of pizza. A whole pizza is divided into twelve equal pieces and costs seventy-five cents a slice. Andy says he will eat one-half of a pizza. Gale says he will eat one-fourth of a pizza. Jones says he will eat two-thirds of a pizza. Matt says he will eat ten-twelfths of a pizza and David says he will eat three-fourths of a pizza.How many whole pizzas do the boys order & what does each boy pay for his pizza slices? If the boys decide to split the cost of the pizza equally, what would each boy pay?

Answer 1

Here's how to solve the pizza problem:

1. Calculate slices each boy eats:

1. Andy: 1/2×12=6 slices
2. Gale: 1/4×12=3 slices
3. Jones: 2/3×12=8 slices
4. Matt: 10/12×12=10 slices
5. David: 3/4×12=9 slices

2. Calculate total slices eaten:

6+3+8+10+9=36 slices

3. Determine how many whole pizzas are ordered:

Since each whole pizza has 12 slices, and they eat 36 slices: 36 slices/12 slices/pizza=3 whole pizzas

4. Calculate the cost for each boy's pizza slices:

Each slice costs $0.75.

1. Andy: $6 \text{ slices} \times $0.75/\text{slice} = $4.50
2. Gale: $3 \text{ slices} \times $0.75/\text{slice} = $2.25
3. Jones: $8 \text{ slices} \times $0.75/\text{slice} = $6.00
4. Matt: $10 \text{ slices} \times $0.75/\text{slice} = $7.50
5. David: $9 \text{ slices} \times $0.75/\text{slice} = $6.75

5. Calculate the total cost of the pizza:

$3 \text{ whole pizzas} \times (12 \text{ slices/pizza} \times $0.75/\text{slice}) = 3 \times $9.00 = $27.00 (Alternatively, sum the individual costs: $4.50 + $2.25 + $6.00 + $7.50 + $6.75 = $27.00)

6. Calculate the cost per boy if they split the cost equally:

There are 5 boys, and the total cost is $27.00.

$27.00 / 5 = $5.40

Summary:

1. The boys order 3 whole pizzas.
2. Each boy's individual cost:Andy: $4.50
3. Gale: $2.25
4. Jones: $6.00
5. Matt: $7.50
6. David: $6.75
7. If the boys split the cost equally, each boy would pay $5.40.