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)
an adult ticket is $14 and a child ticket is $11
an adult ticket is $12.50 and a child ticket is $9.50
an adult ticket is $8 and a child ticket is $5
an adult ticket is $11 and a child ticket is $8

Explanation:

Step1: Let the price of an adult ticket be $x$.

Then the price of a child - ticket is $x - 3$.

Step2: Set up the equation based on the total cost.

The total cost of 3 adult and 3 child tickets is $75$. So, $3x+3(x - 3)=75$.

Step3: Expand the equation.

$3x+3x-9 = 75$.

Step4: Combine like - terms.

$6x-9 = 75$.

Step5: Add 9 to both sides of the equation.

$6x=75 + 9=84$.

Step6: Solve for $x$.

$x=\frac{84}{6}=14$.

Step7: Find the price of a child ticket.

The price of a child ticket is $x - 3=14 - 3 = 11$.

Answer:

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