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)%0D%0AResponses%0D%0A%0D%0Aan adult ticket is $12.50 and a child ticket is $9.50%0D%0Aan adult ticket is $12.50 and a child ticket is $9.50%0D%0A%0D%0Aan adult ticket is $8 and a child ticket is $5%0D%0Aan adult ticket is $8 and a child ticket is $5%0D%0A%0D%0Aan adult ticket is $14 and a child ticket is $11%0D%0Aan adult ticket is $14 and a child ticket is $11%0D%0A%0D%0Aan adult ticket is $11 and a child ticket is $8

Answer 1

Let's assume the cost of an adult ticket is A and the cost of a child ticket is C.

According to the given information, we know that:

3A + 3C = 75 (Equation 1)

We also know that the cost of each child ticket is $3 less than the cost of an adult ticket:

C = A - 3 (Equation 2)

Now we can solve these equations to find the values of A and C.

Substitute Equation 2 into Equation 1:

3A + 3(A - 3) = 75

3A + 3A - 9 = 75

6A - 9 = 75

Add 9 to both sides:

6A = 84

Divide both sides by 6:

A = 14

Substitute this value back into Equation 2:

C = 14 - 3

C = 11

So the price of each adult ticket is $14 and the price of each child ticket is $11.