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Difficulty: MediumUnit Price Comparisons

A construction battalion is procuring wood varnish for a barracks renovation. A supplier sells the varnish in a 55-gallon bucket for $120.00\$120.00. Alternatively, the same varnish is sold in 11-quart cans for $8.00\$8.00 each. How much money is saved per gallon by purchasing the 55-gallon bucket instead of the 11-quart cans?

  1. \$8.00Answer
  2. B
    \$16.00
  3. C
    \$22.00
  4. D
    \$0.80

Answer

The 55-gallon bucket saves $8.00\$8.00 per gallon compared to the 11-quart cans.
To accurately compare the costs, both options must be calculated as a price per gallon. The 55-gallon bucket costs $120.00\$120.00, which breaks down to $120.00÷5=$24.00\$120.00 \div 5 = \$24.00 per gallon. For the second option, because there are 44 quarts in 11 gallon, the price per gallon is 4×$8.00=$32.004 \times \$8.00 = \$32.00. The savings per gallon is the difference between these two unit rates: $32.00−$24.00=$8.00\$32.00 - \$24.00 = \$8.00.

Step-by-Step Solution

1
Calculate the unit price per gallon for the 55-gallon bucket.
$120.00÷5=$24.00\$120.00 \div 5 = \$24.00 per gallon
This establishes the baseline unit price for the bulk option.
2
Convert the price of the 11-quart cans into a price per gallon.
Since there are 44 quarts in a gallon, 4×$8.00=$32.004 \times \$8.00 = \$32.00 per gallon
Both unit prices must be in the same measurement (gallons) to make an accurate comparison.
3
Subtract the bucket's gallon price from the cans' gallon price to find the savings.
$32.00−$24.00=$8.00\$32.00 - \$24.00 = \$8.00
The question asks for the money saved per gallon by choosing the bucket.

Key Concept

Comparing unit prices requiring unit conversions
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Topics

Unit Price Comparisons

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