Question

You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1,450. How many student tickets did you sell?

Answer 1

3x + 5y = 1450
x + y = 350

Answer 2

But how do I solve it?

Answer 3

I used substitution method :)
x + y = 350 becomes y = -x + 350
which you can plug into 3x + 5y = 1450
so 3x + 5(-x+350) = 1450 distribute and solve for x

Answer 4

First, i distribute. Which would be 3x-5x+350=1450?

Answer 5

close :)
don't forget that the 5 gets multiplied to the 350 too
so 3x - 5x + 1750 = 1450 then add like terms and solve for x :)

Answer 6

2x=-300

Answer 7

X=150

Answer 8

Correct! :)

Answer 9

negative or positive 150?

Answer 10

I don't think you can have a negative number of tickets :P
if you were wondering why...
3x - 5x = -2x
so -2x = -300 divide both sides by -2
negative divided by negative= positive
so x = positive 150

Answer 11

True that and that makes sense. Thank you.

Answer 12

you're welcome :)