Three adults and four children must pay $73. Two adults and three children must pay $52. Find the price of the adults ticket and the price of a child’s ticket

Answer 1

3A + 4C = 73

2A + 3C = 52

Elimination: multiplies first equation by -2 and second equation by 3

-6A + -8C = -146

6A + 9C = 156

C = 10

2A + 3(10) = 52

2A + 30 = 52

2A = 22

A=11

$11 for adults , $10 for children