Aaron, Glenn, James, Matt and Trevor

Question

Aaron, Glenn, James, Matt and Trevor stop for pizza. The boys decide to order the same type of pizza. A whole pizza is divided into eight equal pieces and costs seventy cents a slice. Aaron says he will eat one-half of a pizza. Glenn says he will eat one-fourth of a pizza. James says he will eat three-eights of a pizza. Matt says he will eat four-eights of a pizza and Trevor says he will eat three-eights of a pizza. How many whole pizzas do the boys order and what does each boy pay for his pizza slices? Show all your mathematical thinking.

Answer 1

[Tutor's NOTE: Whatever is in the square brackets is the Tutor's Notes. Not a part of the solution, but, often, a part of my teaching]

[On the first reading, observe the Math core. This will to have a plan for solving faster]

We need to find a sum of fractions. Find the least common denominator, LCD = 8.

[Fill a column with fractions with LCD]

Multiplay number of 8ths in this column by 70¢ to get what each boy pays for his pizza slices

They will eat pay

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Aaron 1/2 = 4/8 4 • 70 = $2.80

Glenn 1/4 = 2/8 2 • 70 = $1.40

James = 3/8 3 • 70 = $2.10

Matt = 4/8 4 • 70 = $2.80

Trevor = 3/8 3 • 70 = $2.10

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16/8 = 2 whole pizzas.

Answers are boldfaced.

Answer 2

From problem statement: 8 slices = 1 pizza; 1 slice costs $0.70.

To find how many pizzas they order, you can add fractions from every one:

1/2 + 1/4 + 3/8 + 4/8 + 3/8

Make sure every fraction has the same denominator, THEN you can add the numerators:

4/8 + 2/8 + 3/8 + 4/8 + 3/8 = 16/8 = 2

So the boys order TWO (2) pizzas.

What does each boy pay for his pizza slices?

Find how many slices each boy will order, then multiply by the cost of a slice ($0.70)

Aaron will eat 1/2 of a pizza. Remember a pizza = 8 slices, so 1/2 x 8 slices = 4 slices.

Aaron will then pay 4 x $0.70 = $2.80.

Glenn will eat 1/4 of a pizza, so 1/4 x 8 slices = 2 slices. Glenn will then pay 2 x $0.70 = $1.40.

James will eat 3/8 of a pizza, so 3/8 x 8 slices = 3 slices. James will then pay 3 x $0.70 = $2.10.

Use same approach for Matt and Trevor, and you'll get the answers (Matt eats same amount as Aaron, so should pay same as Aaron. Trevor should pay same as James for same reason)

Answer 3

Hello, thank you for taking the time to post your question!

First you can add together the fractions to figure out the total amount of pizza they want to eat. Based on the information given that would mean taking

½ + ¼ + 3/8 + 4/8 + 3/8 = 16/8 = 2

Meaning that they would end up ordering 2 whole pizzas.

Then to figure out the cost breakdown we want to multiply the total amount each boy will eat by the given 70 cents/slice price.

Aaron: ½ = 4/8 x 70 cents/slice = 280 cents = $2.80

Glenn: ¼ = 2/8 x 70 cents/slice = 140 cents = $1.40

James: 3/8 x 70 cents/slice = 210 cents = $2.10

Matt: 4/8 x 70 cents/slice = 280 cents = $2.80

Trevor: 3/8 x 70 cents/slice = 210 cents = $2.10

I hope that helps get you moving in the right direction! Feel free to reach out if you still have questions beyond that :)

Answer 4

Glenn 1/4 pizza for $1.40

James 3/8 pizza for $2.10

each pizza is divided into 8 equal slices at 70 cents per slice

Glenn has 2 slices, 2x70 cents = $1.40

James has 3 slices 3x70 cents = $2.10

Aaron 4 slices $2.80

Matt same 4 slices $2.80

Trevor 3 slices $2.10

$11.20 all together, total bill for all 5 boys