Number of adult tickets sold is 31 and number of child tickers sold is 19
Step-by-step 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
