Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 2 of the 8-ounce platters, and 2 of the 11-ounce platters.

Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95

If a gratuity of 17% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
A.
$17
B.
$134
C.
$114
D.
$154

1 answer

To find the total cost of the dinner platters and the gratuity, we first need to calculate the total cost of the steak platters.

  1. Calculate the cost of each type of platter:

    • For the 6-ounce platters: \[ 4 \text{ platters} \times $9.95 = $39.80 \]
    • For the 8-ounce platters: \[ 2 \text{ platters} \times $12.95 = $25.90 \]
    • For the 11-ounce platters: \[ 2 \text{ platters} \times $15.95 = $31.90 \]
  2. Add the costs of all the platters together: \[ $39.80 + $25.90 + $31.90 = $97.60 \]

  3. Calculate the gratuity (17% of total cost): \[ \text{Gratuity} = 0.17 \times $97.60 \approx $16.592 \]

  4. Add the gratuity to the total cost of the platters: \[ \text{Total Cost} = $97.60 + $16.592 \approx $114.192 \]

Rounding this to the nearest dollar gives us approximately $114.

Thus, the closest answer to the total of the steak platters and gratuity, ignoring sales tax, is: C. $114