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Difficulty: MediumUnit Price Comparisons

A ship's culinary specialist is ordering bulk ground coffee. A 1212-ounce bag of coffee costs $5.40\$5.40. A 33-pound container of the same coffee costs $18.00\$18.00. How much money is saved per pound by purchasing the 33-pound container instead of multiple 1212-ounce bags?

  1. $1.20\$1.20Answer
  2. B
    $1.95\$1.95
  3. C
    $3.60\$3.60
  4. D
    $5.55\$5.55

Answer

$1.20\$1.20
The correct savings is found by determining the unit price of each option for exactly one pound and subtracting them. The 1212-ounce bag costs $0.45\$0.45 per ounce, which equates to $7.20\$7.20 per pound (0.45×160.45 \times 16). The 33-pound container costs $6.00\$6.00 per pound (18.00÷318.00 \div 3). Subtracting the container's unit price from the bag's unit price yields a savings of $1.20\$1.20 per pound.

Step-by-Step Solution

1
Calculate the price per pound for the 33-pound container.
$18.00÷3=$6.00\$18.00 \div 3 = \$6.00 per pound.
To find the baseline unit price of the bulk option for comparison.
2
Determine the cost per ounce of the 1212-ounce bag.
$5.40÷12=$0.45\$5.40 \div 12 = \$0.45 per ounce.
To find the base unit rate of the smaller bags before scaling up to a full pound.
3
Calculate the price per pound for the 1212-ounce bag.
$0.45×16=$7.20\$0.45 \times 16 = \$7.20 per pound.
Because there are 1616 ounces in a pound, multiplying the cost per ounce by 1616 gives the comparable unit price.
4
Find the difference in price per pound.
$7.20−$6.00=$1.20\$7.20 - \$6.00 = \$1.20.
Subtracting the unit price of the bulk container from the unit price of the bags determines the exact savings per pound.

Key Concept

Unit Price Comparisons across different measurement scales
Estimated Time:1m 30s
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Topics

Unit Price Comparisons

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