Four students plan to share the cost for ordering pizza. Each student says how much of a whole pizza they want to eat as shown. Abe=1/2 of a pizza, Becca=2/3 of a pizza, Cam=2/4 of a pizza and Kim 2/6 of a pizza. Abe and Becca only want pepperoni pizza. Cam and Kim only want cheese pizza. Cheese and pepperoni pizzas can only be ordered as whole pizzas. What is the minimum number of whole pizzas they must order so that each student has as much of the kind of pizza they say they want to eat?

Question

Edwards

Mathematics

24 September, 13:08

Four students plan to share the cost for ordering pizza. Each student says how much of a whole pizza they want to eat as shown. Abe=1/2 of a pizza, Becca=2/3 of a pizza, Cam=2/4 of a pizza and Kim 2/6 of a pizza. Abe and Becca only want pepperoni pizza. Cam and Kim only want cheese pizza. Cheese and pepperoni pizzas can only be ordered as whole pizzas. What is the minimum number of whole pizzas they must order so that each student has as much of the kind of pizza they say they want to eat?

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Keith Garner · Answer 1

For pepperoni pizza, Abe wants 1/2, while Becca wants 2/3, which is a total of 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 and 1/6. Therefore at least 2 pepperoni pizzas are needed.

For cheese pizza, Cam was 2/4 = 1/2, while Kim wants 2/6 = 1/3. This is a total of 1/2 + 1/3 = 3/6 + 2/6 = 5/6. Therefore just 1 cheese pizza will be enough.

The total number of pizzas that must be ordered is 2 + 1 = 3.