There are 10 less trumpet players than saxophone players. The number of saxophone players is 3 times the number of trumpet players

Question

There are 10 less trumpet players than saxophone players. The number of saxophone players is 3 times the number of trumpet players. How many trumpet players are there?

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Kiệt Gia 4 weeks 2023-01-09T15:16:05+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2023-01-09T15:17:52+00:00
    Answer:
    Step-by-step explanation:
    There are 5 trumpeters.
    There are 10 less trumpet players than saxophone players, so – S – 10 = T
    Also, there are three times as many saxophonists than trumpeters, so S = 3T
    Using these formulas,
    S – 10 = T, and S = 3T
    substituting 3T for S gives: 3T – 10 = T.
    Adding 10 to each side gives: 3T = T +10, or 2T = 10
    T = 5
    Five trumpet players means 15 saxophonists, by the first clause. Also three times five trumpet players equals fifteen saxophonists.

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