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 1/4 of the pizza, Wayne ate 37.5% of the pizza, and Diane ate 1/8 of the pizza. If Emma ate all of the remaining pizza, approximately how much should she pay?

Question

A.
$2.44
B.
$3.66
C.
$4.88
D.
$7.31

Answer 1

To determine how much Emma should pay, we first need to find out how much of the pizza Sully, Wayne, and Diane ate in terms of fractions.

1. Convert Wayne's percentage to a fraction: 37.5% can be expressed as \( \frac{37.5}{100} = \frac{3.75}{10} = \frac{15}{40} = \frac{3}{8} \).

2. Sum up the portions eaten by Sully, Wayne, and Diane:

   • Sully: \( \frac{1}{4} = \frac{2}{8} \)
   • Wayne: \( \frac{3}{8} \)
   • Diane: \( \frac{1}{8} \)

   Adding these gives: \[ \frac{2}{8} + \frac{3}{8} + \frac{1}{8} = \frac{6}{8} = \frac{3}{4} \]

3. Find the remaining portion of the pizza that Emma ate: Since the total pizza is 1 (or \( \frac{8}{8} \)), \[ 1 - \frac{3}{4} = \frac{1}{4} \]

4. Calculate how much Emma has to pay based on her portion: The total cost of the pizza is $19.50, and Emma ate \( \frac{1}{4} \) of it. Thus, her share of the cost is: \[ \frac{1}{4} \times 19.50 = \frac{19.50}{4} = 4.875 \]

5. Round this amount: \( 4.875 \) rounded to two decimal places is \( 4.88 \).

Thus, Emma should pay approximately $4.88, corresponding to option C.