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Question

Difficulty: MediumDecimal Operations and Currency Word Problems

A motor pool sergeant is requisitioning maintenance supplies for his unit's vehicles. He orders 1212 quarts of synthetic oil at $6.75\$6.75 per quart, 44 oil filters at $14.50\$14.50 each, and 33 cans of heavy-duty degreaser at $5.25\$5.25 each. If he pays for the entire order using a $200.00\$200.00 unit procurement voucher, what is the remaining balance on the voucher in dollars?

Answer: 45.25 dollars

Answer

45.25
The correct answer is found by first calculating the total cost for each group of items, summing these costs to determine the total purchase amount of 154.75,andthensubtractingthistotalfromthe154.75, and then subtracting this total from the 200.00 voucher to find the remaining balance of $45.25.

Step-by-Step Solution

1
Calculate the total cost of the synthetic oil.
$81.00\$81.00
Multiply the quantity (12) by the price per quart ($6.75\$6.75).
2
Calculate the total cost of the oil filters.
$58.00\$58.00
Multiply the quantity (4) by the price per filter ($14.50\$14.50).
3
Calculate the total cost of the degreaser.
$15.75\$15.75
Multiply the quantity (3) by the price per can ($5.25\$5.25).
4
Calculate the total purchase amount.
$154.75\$154.75
Add the individual totals together ($81.00+$58.00+$15.75\$81.00 + \$58.00 + \$15.75).
5
Calculate the remaining balance on the voucher.
$45.25\$45.25
Subtract the total purchase amount from the initial voucher value ($200.00−$154.75\$200.00 - \$154.75).

Key Concept

Multi-step decimal arithmetic involving unit prices and making change.
Estimated Time:1m 30s
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Topics

Decimal Operations and Currency Word Problems

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