Question

Question #77db5

Answer 1

Child ticket `"= 14 dollars"`
Senior ticket `"= 8 dollars"`

Explanation:

Let

• `x =` child tickets
• `y =` senior tickets.

The two equations are

`3y+x=38`

and

`3y+2x=52`

I would recommend on this problem elimination over substitution and graphing. So times the first equation by `-1` and that would equal

`-3y-x=-38`

So

`-3y-x=-38`
`3y+2x=52`

Add the two equations. The `y`'s would cancel out to give you

`x=14`

So now plug `14` into either equation. I'm going to use the second one.

`3y+2(14)=52`

`3y+28=52`

`3y=24`

`y=24/3`

`y=8`