Question

Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Find the price of each ticket.(1 point)
Responses

an adult ticket is $8 and a child ticket is $5
an adult ticket is $8 and a child ticket is $5

an adult ticket is $12.50 and a child ticket is $9.50
an adult ticket is $12.50 and a child ticket is $9.50

an adult ticket is $11 and a child ticket is $8
an adult ticket is $11 and a child ticket is $8

an adult ticket is $14 and a child ticket is $11

Answer 1

Let adult ticket = A, child ticket = C. Given C = A − 3 and 3A + 3C = 75 → A + C = 25. Substitute: A + (A − 3) = 25 → 2A = 28 → A = 14, C = 11.

So an adult ticket is $14 and a child ticket is $11.