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Difficulty: MediumUS Customary Weight Measurements

A military dining facility is using a recipe for a large batch of stew that requires 2.52.5 pounds of beef. A chef is scaling up the recipe and needs to prepare 4040 batches for an upcoming event. The beef is purchased from a wholesale supplier at a cost of $0.60\$0.60 per ounce. What is the total cost of the beef required for all 4040 batches?

  1. A
    $3.75\$3.75
  2. B
    $60\$60
  3. $960\$960Answer
  4. D
    $9,600\$9,600

Answer

The total cost of the beef required is $960\$960.
First, find the total weight in pounds by multiplying the number of batches by the weight per batch (40×2.5=10040 \times 2.5 = 100 pounds). Next, convert the pounds to ounces by multiplying by 1616 since there are 1616 ounces in a pound (100×16=1,600100 \times 16 = 1,600 ounces). Finally, multiply the total ounces by the cost per ounce (1,600×$0.601,600 \times \$0.60) to get the total cost of $960\$960.

Step-by-Step Solution

1
Calculate the total amount of beef needed in pounds.
40×2.5=10040 \times 2.5 = 100 pounds
To find the total weight required, multiply the number of batches by the weight per batch.
2
Convert the total weight from pounds to ounces.
100×16=1,600100 \times 16 = 1,600 ounces
The cost is given per ounce, so the total weight must be converted to ounces. There are 1616 ounces in a pound.
3
Calculate the total cost by multiplying the total ounces by the cost per ounce.
1,600×$0.60=$9601,600 \times \$0.60 = \$960
Multiplying the total number of ounces by the price per ounce yields the total cost.

Key Concept

Unit conversions for US customary weight and calculating total costs
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Topics

US Customary Weight Measurements

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