Question

a radio station had 192 tickets to a concert. they gave away 5 times as many tickets to listeners as to the employees. how many tickets did they give away to employees?

A. 32
B.6
C.37
D.5

Answer 1

Answer: OPTION A.

Step-by-step explanation:

Let be "e" the number of tickets that the radio station gave away to employees and "l" the number of tickets that the radio station gave away to listeners.

Based on the data given in the exercise, you can set up the following System of equations:

$\left \{ {{e+l=192 } \atop {l=5e}} \right.$

Finally you must apply the Substitution Method to solve the System of equations.

To apply it, you must substitute the second equation into the first one and then you must for the variable "e".

Through this precedure you get the following value of "e":

$e+l=192\\\\e+(5e)=192\\\\6e=192\\\\e=\frac{192}{6}\\\\e=32$