Question

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

Answer 1

5 trumpet players

let s represent saxophone players and t trumpet players

thus t = s - 10 → ( 10 less than saxophone players)

also s = 3t = 3( s - 10)

solve s = 3( s - 10)

s = 3s - 30

subtract s from both sides of the equation

0 = 3s - s - 30

0 = 2s - 30

add 30 to both sides

30 = 2s

divide both sides by 2

`(30)/(2)` = s ⇒ s = 15

number of trumpet players = 15 - 10 = 5