Sully, Emma, Diane, and Wayne 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 3/8 of the pizza, Emma ate 12.5% of the pizza, and Diane ate 1/8 of the pizza. If Wayne ate all of the remaining pizza, approximately how much should he pay?

Question

A.
$6.09
B.
$4.88
C.
$7.31
D.
$9.75

Answer 1

To find out how much Wayne should pay for his portion of the pizza, we first need to figure out how much pizza was consumed by Sully, Emma, and Diane, and then determine Wayne's share.

1. Calculate the portions eaten by Sully, Emma, and Diane:

   • Sully ate \( \frac{3}{8} \) of the pizza.
   • Emma ate \( 12.5% \) of the pizza, which can be converted to a fraction: \[ 12.5% = \frac{12.5}{100} = \frac{1}{8} \]
   • Diane ate \( \frac{1}{8} \) of the pizza.

2. Convert all fractions to a common denominator: The common denominator for \( \frac{3}{8}, \frac{1}{8}, \frac{1}{8} \) is \( 8 \).

   • Sully's portion: \( \frac{3}{8} \)
   • Emma's portion: \( \frac{1}{8} \)
   • Diane's portion: \( \frac{1}{8} \)

3. Add the portions eaten by Sully, Emma, and Diane: \[ \text{Total eaten} = \frac{3}{8} + \frac{1}{8} + \frac{1}{8} = \frac{3 + 1 + 1}{8} = \frac{5}{8} \]

4. Determine the remaining portion for Wayne: The remaining portion is: \[ 1 - \frac{5}{8} = \frac{3}{8} \]

5. Calculate the cost of the pizza that Wayne should pay for his portion: The total cost of the pizza is $19.50. The cost for \( \frac{3}{8} \) of the pizza is: \[ \text{Cost for Wayne} = \frac{3}{8} \times 19.50 = \frac{3 \times 19.50}{8} = \frac{58.50}{8} = 7.3125 \]

6. Round the cost to the nearest cent: Approximating this gives us \( 7.31 \).

Thus, Wayne should pay approximately $7.31.

The correct answer is C. $7.31.