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

Cevap

$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.

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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.

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