contestada

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?

Respuesta :

Let the number of saxophone players be [tex]s[/tex].

Then, the number of trumpet players will be [tex]s-10[/tex]


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


[tex]s=3(s-10)[/tex]


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


[tex]s=3s-30[/tex]

We group like terms to get,

[tex]s-3s=-30[/tex]


[tex]-2s=-30[/tex]


This implies that

[tex]s=15[/tex]

The number of trumpet players are;

[tex]15-10=5[/tex]

Therefore there are 5 trumpet players.