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Difficulty: EasyBasic Ratios

A military dining facility prepares a standard meal using a ratio of 44 pounds of beef for every 33 pounds of rice. If the facility uses 2424 pounds of rice for a meal, how many pounds of beef will be needed?

Answer: 32 pounds

Answer

32
Because the required ratio of beef to rice is 4:34:3, every 33 pounds of rice requires 44 pounds of beef. Since 2424 pounds of rice is 88 times the base amount (24÷3=824 \div 3 = 8), the amount of beef must also be scaled by 88. Multiplying 44 pounds by 88 yields exactly 3232 pounds of beef.

Step-by-Step Solution

1
Identify the given ratio and the known actual quantity.
The ratio of beef to rice is 4:34:3. The actual amount of rice used is 2424 pounds.
Establishing the known values is the first step in solving a proportion.
2
Determine the scale factor between the base ratio and the actual amounts.
24÷3=824 \div 3 = 8. The scale factor is 88.
Since the ratio amount for rice is 33 and the actual amount is 2424, multiplying by 88 scales the ratio up to the actual meal size.
3
Apply the scale factor to the beef portion of the ratio to find the missing quantity.
4×8=324 \times 8 = 32.
To maintain the exact proportional relationship, both parts of the ratio must be multiplied by the same scale factor.

Key Concept

Solving for a missing quantity in a part-to-part ratio using a scale factor.
Estimated Time:1m 0s
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Topics

Basic Ratios

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