Question

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

Answer 1

Let the number of saxophone players be
`s`.

Then, the number of trumpet players will be
`s-10`

If saxophone players are three times the number of trumpet players then we have the relation

`s=3(s-10)`

This is a linear equation in s. we expand bracket to obtain,

`s=3s-30`

We group like terms to get,

`s-3s=-30`

`-2s=-30`

This implies that

`s=15`

The number of trumpet players are;

`15-10=5`

Therefore there are 5 trumpet players.