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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?

Respuesta :

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"
[tex]T=4H[/tex]

2. "There are 35 trumpet and French horn players in the band."
[tex]T+H=35[/tex]

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

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