Question

Assign two variables for each problem, and write the equations. Do not solve.

Answer 1

Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."the number of trumpet players is 4 times the number of French horn players"
$T=4H$

2. "There are 35 trumpet and French horn players in the band."
$T+H=35$

If you were asked to solve you could now do it by substitution:
$4H+H=35$
$5H=35$
$H=7$
$T=4H$
$T=4(7)$
$T=28$