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Difficulty: MediumUnit Price Comparisons

An aviation logistics specialist is sourcing a specific synthetic lubricant for aircraft maintenance. A local supplier sells the lubricant in 11-quart bottles for $5.50\$5.50 each. A wholesale distributor sells the same lubricant in 55-gallon drums for $95.00\$95.00 per drum. How much money is saved per gallon by purchasing the 55-gallon drum instead of the individual 11-quart bottles?

Answer: 3 $

Answer

3
To find the savings per gallon, both purchase options must be converted to a per-gallon rate. Because there are 4 quarts in a US gallon, the 1-quart bottles effectively cost $5.50×4=$22.00\$5.50 \times 4 = \$22.00 per gallon. The 5-gallon drum costs $95.00÷5=$19.00\$95.00 \div 5 = \$19.00 per gallon. The difference in price is $22.00−$19.00=$3.00\$22.00 - \$19.00 = \$3.00 saved per gallon.

Step-by-Step Solution

1
Calculate the price per gallon for the 1-quart bottles.
$5.50×4=$22.00\$5.50 \times 4 = \$22.00 per gallon.
There are 4 quarts in a gallon, so the unit price must be scaled up to match the gallon comparison unit.
2
Calculate the price per gallon for the 5-gallon drum.
$95.00÷5=$19.00\$95.00 \div 5 = \$19.00 per gallon.
The total cost of the drum must be divided by its volume in gallons to find the unit price.
3
Calculate the difference between the two unit prices.
$22.00−$19.00=$3.00\$22.00 - \$19.00 = \$3.00
Subtracting the lower unit price from the higher unit price reveals the savings per gallon.

Key Concept

Calculating and comparing unit rates involving US customary capacity conversions.
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Topics

Unit Price Comparisons

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