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Difficulty: MediumDecimal Operations and Currency Word Problems

A Navy recruiter is organizing a training event and orders 44 sandwich platters for $22.50\$22.50 each and 22 fruit trays for $15.00\$15.00 each. The catering company applies a 10%10\% military discount to the cost of the food, and then adds a 5%5\% delivery fee to the discounted subtotal. What is the final total cost of the order?

  1. A
    $114.00\$114.00
  2. B
    $162.00\$162.00
  3. $113.40\$113.40Answer
  4. D
    $115.50\$115.50

Answer

The final total cost of the order is $113.40\$113.40.
The total cost of the food is first calculated as $120.00\$120.00. The 10%10\% discount reduces this amount by $12.00\$12.00, leaving a discounted subtotal of $108.00\$108.00. The 5%5\% delivery fee is then applied to the discounted subtotal ($108.00×0.05=$5.40\$108.00 \times 0.05 = \$5.40). Adding the fee to the discounted subtotal yields a final cost of $113.40\$113.40.

Step-by-Step Solution

1
Calculate the initial cost of the food items.
4×$22.50=$90.004 \times \$22.50 = \$90.00 (platters) and 2×$15.00=$30.002 \times \$15.00 = \$30.00 (fruit). Total subtotal =$90.00+$30.00=$120.00= \$90.00 + \$30.00 = \$120.00.
You must find the total value of all items before applying any discounts or fees.
2
Calculate the amount of the military discount.
$120.00×0.10=$12.00\$120.00 \times 0.10 = \$12.00.
The 10%10\% discount is applied to the initial food cost.
3
Determine the discounted subtotal.
$120.00−$12.00=$108.00\$120.00 - \$12.00 = \$108.00.
Subtracting the discount from the original subtotal gives the new base amount for the fee.
4
Calculate the delivery fee on the discounted subtotal.
$108.00×0.05=$5.40\$108.00 \times 0.05 = \$5.40.
The problem states the 5%5\% delivery fee is applied to the discounted subtotal.
5
Calculate the final total cost.
$108.00+$5.40=$113.40\$108.00 + \$5.40 = \$113.40.
Adding the delivery fee to the discounted subtotal provides the final amount owed.

Key Concept

Decimal Operations and Currency Word Problems
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Topics

Decimal Operations and Currency Word Problems

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