Question

A total of 4500 tickets to a concert were sold and the price for each ticket was either $59 or $85. If the

amount collected was $291, 500, how many tickets were sold at each price?
O (35, 10)
O (3500, 1000)
O (1000, 2200)
O (3000, 1500)

Answer 1

3500 tickets were sold at $59

1000 tickets were sold at $85

(3500, 1000)

Explanation:

x + y = 4500

59x + 85y = 291500

x + y = 4500

x = 4500 - y

59(4500 - y) + 85y = 291500

265500 - 59y + 85y = 291500

265500 + 26y = 291500

26y = 26000

y = 1000

x + y = 4500

x + 1000 = 4500

x = 3500

Check:

x + y = 4500

3500 + 1000 = 4500

4500 = 4500

59x + 85y = 291500

59(3500) + 85(1000) = 291500

206500 + 85000 = 291500

291500 = 291500