Question 335266
 a school sold 200 tickets to a play. Ticket prices were $8.00 per adult and $5 per child. If the total sales for the tickets dcame to $1414, how many children's tickets were sold?



let A = adult tickets sold, and C = child tickets sold
A + C = 200 tickets
8A + 5C = $1414


C = 200 - A (now substitute this into 2nd equation)


8A + 5(200 - A) = 1414
8A + 1000 - 5A = 1414
8A - 5A = 414
3A = 414
A = 138  --> 138 adult tickets sold


138 + C = 200
C = 62 ----> 62 child tickets sold