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Difficulty: EasyDividing in a Ratio

A mess hall cook prepares a large batch of stew. The recipe requires a total of 6060 pounds of meat and potatoes. If the ratio of meat to potatoes is 3:23:2, how many pounds of meat are needed?

  1. A
    1212
  2. B
    2020
  3. C
    2424
  4. 3636Answer

Answer

3636
The correct answer is found by first adding the parts of the ratio together (3+2=53 + 2 = 5). Next, divide the total weight (6060 pounds) by 55 to find the weight of a single part (1212 pounds). Finally, multiply this unit weight by the number of parts designated for meat (3×12=363 \times 12 = 36 pounds).

Step-by-Step Solution

1
Find the total number of parts in the ratio.
3+2=53 + 2 = 5 total parts.
To distribute the total weight correctly, we first need to determine how many proportional parts make up the whole.
2
Determine the weight of a single part.
60÷5=1260 \div 5 = 12 pounds per part.
Dividing the total weight by the total number of parts gives the value of one unit in the ratio.
3
Calculate the total weight of the meat.
3×12=363 \times 12 = 36 pounds.
The ratio states there are 33 parts of meat. Multiplying the weight of one part by 33 gives the final amount of meat needed.

Key Concept

Dividing a total quantity into parts based on a given ratio.
Estimated Time:45s
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Topics

Dividing in a Ratio

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