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Question

Difficulty: MediumRatios and Proportions

An ammunition crate contains tracer rounds and standard rounds in a ratio of 5:125:12. If the crate holds a total of 510510 rounds, how many tracer rounds does it contain?

Answer: 150 / 150 rounds / 150 tracer rounds

Answer

150
By adding the ratio parts (5+12=175 + 12 = 17), we find that tracer rounds make up 517\frac{5}{17} of the total contents. Multiplying the total number of rounds (510510) by this fraction yields 150150 tracer rounds.

Step-by-Step Solution

1
Calculate the total number of parts in the ratio.
5+12=175 + 12 = 17 total parts.
The total quantity of rounds (510510) corresponds to the combined parts of the ratio.
2
Determine the number of rounds represented by a single part.
510÷17=30510 \div 17 = 30 rounds per part.
Dividing the total items by the total parts finds the scale factor.
3
Calculate the total number of tracer rounds.
5×30=1505 \times 30 = 150 tracer rounds.
The ratio states there are 55 parts of tracer rounds, so we multiply the scale factor by 55.

Key Concept

Solving part-to-whole problems using a part-to-part ratio.
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Topics

Ratios and Proportions

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