How do you solve this System of Equations?

Question

Levi purchased a total of 50 ride and game tickets and the amusement park and spent $29. if ride tickets cost 75 cents each and game tickets cost 50 cents each, how many ride tickets did he purchase?

Answer 1

r + g = 50

0.75r + 0.5g = 29

 

Solve the 1st equation for r or g. Let's do g.

 

g = 50 - r

 

Now, substitute.

 

0.75r + 0.5(50 - r) = 29

 

Solve for r, then subtract your answer from 50 to find g.