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

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

Answer ( 1 )

diemkieu · Answer 1 · 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.