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Difficulty: MediumUnit Price Comparisons

A maintenance supervisor is ordering floor sealant for a large building renovation. The sealant is available in two sizes: a 22-gallon jug priced at $18.00\$18.00, and a 11-quart bottle priced at $3.25\$3.25. If the renovation requires exactly 88 gallons of sealant, how much money is saved in total by purchasing the 22-gallon jugs instead of the 11-quart bottles?

  1. A
    $4.00\$4.00
  2. B
    $46.00\$46.00
  3. $32.00\$32.00Answer
  4. D
    $61.60\$61.60

Answer

$32.00\$32.00
To find the total savings, calculate the total cost for each option. For the 22-gallon jugs, you need 44 jugs to reach 88 gallons (4×$18.00=$72.004 \times \$18.00 = \$72.00). For the 11-quart bottles, first convert 88 gallons to quarts (8×4=328 \times 4 = 32 quarts). You need 3232 bottles (32×$3.25=$104.0032 \times \$3.25 = \$104.00). The difference is $104.00−$72.00=$32.00\$104.00 - \$72.00 = \$32.00.

Step-by-Step Solution

1
Calculate the total cost of purchasing 8 gallons using the 2-gallon jugs.
$72.00\$72.00
The project needs 8 gallons, which requires 4 jugs (8÷28 \div 2). At $18.00\$18.00 per jug, the cost is 4×$18.00=$72.004 \times \$18.00 = \$72.00.
2
Determine how many 1-quart bottles are needed to make 8 gallons.
32 bottles
There are 4 quarts in 1 gallon, so 8 gallons is equal to 32 quarts (8×48 \times 4).
3
Calculate the total cost of purchasing 32 quart bottles.
$104.00\$104.00
At $3.25\$3.25 per bottle, the cost is 32×$3.25=$104.0032 \times \$3.25 = \$104.00.
4
Calculate the total savings between the two options.
$32.00\$32.00
Subtract the lower bulk cost from the higher individual cost: $104.00−$72.00=$32.00\$104.00 - \$72.00 = \$32.00.

Key Concept

Unit Price Comparisons
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Topics

Unit Price Comparisons

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