Question

Sully, Wayne, Diane, and Emma are eating a large pizza. The cost of the pizza is $19.50. They decide to pay for the pizza depending on what portion of the pizza each ate. Sully ate of the pizza, Wayne ate 37.5% of the pizza, and Diane ate of the pizza. If Emma ate all of the remaining pizza, approximately how much should she pay?

Answer 1

The answer is 9.75

Explanation:

First, convert the fraction of the pizza that Sully and Diane ate to percents to simplify the calculation. Next, subtract the percentages of the pizza that Sully, Emma, and Diane ate from 100% to find the percentage of the pizza that Wayne ate. Finally, multiply the percentage of the pizza that Wayne ate with the cost of the pizza, $19.50, to know, how much he should pay.

Therefore, Wayne should pay $9.75.

Answer 2

We can start by calculating the portion of the pizza that Diane ate:

Sully + Wayne + Diane = 1 (since they ate the whole pizza together)

Sully = 0.25 (given)

Wayne = 0.375 (given)

Diane + 0.25 + 0.375 = 1

Diane = 0.375

So Diane ate 37.5% of the pizza, which is the same as Wayne. Now we can calculate the portion that Emma ate:

Sully + Wayne + Diane + Emma = 1

Emma = 1 - Sully - Wayne - Diane

Emma = 1 - 0.25 - 0.375 - 0.375

Emma = 0.0

Since Emma ate all of the remaining pizza, she should pay for the entire pizza. The cost of the pizza is $19.50, so Emma should pay $19.50.