Huong's school is selling tickets to a fall musical.

Question

Huong's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 13 senior citizen tickets and 7 child tickets for a total of $171. The school took in $188 on the second day by selling 12 senior citizen tickets and 14 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Answer 1

13x + 7y = 171 and 12x + 14y = 188

13x/13 = 171 - 7y / 13

x = 171 - 7y /13

next

12( 171 - 7y)/13 + 14y = 188

12(171 - 7y) + 13(14y) = 188 x 13

solve for y and substitute into the firs equation to find x