Question

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10.
Adult and student tickets were sold for the school play. The total receipts were $2005. The number
of student tickets sold was equal to three times the number of adult tickets sold decreased by 56. If
student tickets cost $3.50 and adult tickets cost $5.00, how many adult tickets were sold?

Answer 1

The number of adult tickets sold is 142

Explanation:

Step 1:

Let the number of adult tickets sold be x. Then the number of student tickets sold = 3x - 56. Then, cost of adult tickets = 5x and the cost of student tickets = 3.50(3x - 56) = 10.5x - 196. Also, total receipts = $2005

Total cost = Cost of student tickets + Cost of adult tickets

⇒ 2005 = 10.5x - 196 + 5x

⇒ 2201 = 15.5x

⇒ x = 2201/15.5 = 142