Question

Alexander was putting on a theatre show to debut his play. He is charging $2 for child

tickets and $5 for adult tickets. His theatre has 50 seats and he made $193 at his
debut. Write and solve a system of equations for the number of children tickets and
adult tickets sold. Identify your variables and use complete sentences when giving your
solution.

Answer 1

Number of adult tickets sold is 31 and number of child tickers sold is 19

Explanation:

• Step 1: Find the equation to find the number of child and adult tickets sold.

Let the number of adult tickets sold be x, then the number of child tickets will be 50 - x. (Since there is a total of 50 seats)

Charge for a child ticket = $2

Charge for adult ticket = $5

Total amount received from show = $193

Equation ⇒ 2(50 - x) + 5x = 193

• Step 2: Solve the equation to find x.

⇒ 100 - 2x + 5x = 193

⇒ 3x = 93

∴ x = 93/3 = 31

⇒ 50 - x = 50 - 31 = 19