Question

At the city museum, child admission is $5.70 and adult admission is $9.10. On Tuesday, 139 tickets were sold for a total sales of $972.50. How many adult tickets were sold that day?

Answer 1

Let c = number of child tickets

a = number of adult tickets

5.70c + 9.10a = 972.50

c + a = 139

5.70(139 - a) + 9.10a = 972.50

792.30 - 5.70a + 9.10a = 972.50

792.30 + 3.40a = 972.50

3.40a = 180.20

a = 53, c = 86

53 adult tickets and 86 child tickets were sold that day.