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


In the Alice High School band, the number of trumpet players is 4 times the number of French horn players. There are 35 trumpet and French horn players in the band. How many people play the trumpet?

Verified Answer :

twvogels

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:
\(4H+H=35\)
\(5H=35\)
\(H=7\)
\(T=4H\)
\(T=4(7)\)
\(T=28\)

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