Chris B. answered • 08/28/17

Tutor

5
(2)
Mechanical Engineer, Math Tutor

You can use linear combination or substitution. I think linear combination is easier in this case.

Let:

x=number senior citizen tickets sold

y=number child tickets sold

Your two equations will be

4x+13y=115

8x+3y=69

If you multiply the first equation by (-2), it will look like this:

-8x-26y=-230

8x+3y=69

Combining these equations:

-23y=-161

y=-161/-23

y=7

Substitute y=7 in to 4x+13y=115

4x+13(7)=115

4x+91=115

4x=24

x=24/4

x=6