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The ratio of woodwinds to brass in the symphony orchestra is 3:5. If there are 15 people who play woodwinds, how many people play brass instruments?

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Final answer:

To find the number of brass players in an orchestra with a woodwind to brass ratio of 3:5 and 15 woodwind players, we calculate 3:5 as 15:x, resulting in 25 brass players.

Step-by-step explanation:

The question relates to the ratio of woodwinds to brass in a symphony orchestra, which is given as 3:5. If there are 15 people who play woodwinds, we can find the number of people who play brass instruments with a simple cross-multiplication.

The ratio is 3:5, which means for every 3 woodwind players, there are 5 brass players. Therefore, if there are 15 woodwind players (3 * 5), we multiply the brass ratio number by the same factor (5 * 5), which gives us 25 brass players.

Ratio of woodwinds to brass: 3:5

Woodwind players: 15

Brass players: 25

The number of brass players in the orchestra is 25.

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