Question

Difficulty: MediumUnit Price Comparisons

An armory quartermaster is ordering gun solvent for weapons maintenance. The solvent is available in four different packaging options. Arrange the options from the lowest price per gallon to the highest price per gallon.

  1. 1A 22-quart bottle for $6.00\$6.00
  2. 2A 55-gallon bucket for $65.00\$65.00
  3. 3A 44-gallon case for $54.00\$54.00
  4. 4A 11-pint bottle for $1.75\$1.75

Answer

The correct order from lowest to highest price per gallon is: 2-quart bottle, 5-gallon bucket, 4-gallon case, 1-pint bottle.
By converting all package volumes into gallons, we can compare their unit prices accurately. The 22-quart bottle costs $12.00\$12.00 per gallon, the 55-gallon bucket costs $13.00\$13.00 per gallon, the 44-gallon case costs $13.50\$13.50 per gallon, and the 11-pint bottle costs $14.00\$14.00 per gallon. Arranging them from lowest to highest yields this sequence.

Step-by-Step Solution

1
Calculate the unit price for the 22-quart bottle.
$12.00\$12.00 per gallon
There are 44 quarts in a gallon, making 22 quarts equivalent to 0.50.5 gallons. $6.00÷0.5=$12.00\$6.00 \div 0.5 = \$12.00 per gallon.
2
Calculate the unit price for the 55-gallon bucket.
$13.00\$13.00 per gallon
Dividing the total cost by the number of gallons: $65.00÷5=$13.00\$65.00 \div 5 = \$13.00 per gallon.
3
Calculate the unit price for the 44-gallon case.
$13.50\$13.50 per gallon
Dividing the total cost by the number of gallons: $54.00÷4=$13.50\$54.00 \div 4 = \$13.50 per gallon.
4
Calculate the unit price for the 11-pint bottle.
$14.00\$14.00 per gallon
There are 88 pints in a gallon. Multiplying the pint price by 88 gives the gallon price: $1.75×8=$14.00\$1.75 \times 8 = \$14.00 per gallon.
5
Order the unit prices from lowest to highest.
$12.00\$12.00, $13.00\$13.00, $13.50\$13.50, $14.00\$14.00
The question asks for the options to be arranged in ascending order based on their price per gallon.

Key Concept

Converting various liquid volume measurements to a common unit (gallons) in order to accurately compare unit prices.
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