If 120 people attend a concert and tickets for adults cost $3.50 while tickets for children cost $1.50 and total receipts for the concert was $310, how many of each went to the concert?

Answer 1

C + A = 120

1.5C + 3.5A = 310

1.5C + 1.5A =1.5(120) = 180

subtract to eliminate one variable

2A = 310-180 = 130

A = 130/2 = 65 adults

C =120-65 = 55 children

check the answer

1.5(55) + 3.5(65) = 82.5 + 227.5 = 310