If movie tickets were $5.50 for a child's ticket and $9.20 for an adult ticket, if 149 tickets were sold, with a total of $1137.70, how many tickets sold were adult tickets?

The number of adult ticket = 86

Step-by-step explanation:

Let the number of adult tickets be x

The number of child ticket = 149 - x

x*9.20 + (149-x) * 5.50 = $1137.70

9.2x + 149*5.5 - 5.5x = 1137.70

3.7x + 819.5 = 1137.70

3.7x = 1137.70 - 819.50

3.7x = 318.2

x = 318.2/3.7

x = 86

The number of adult ticket = 86

The number of child ticket = 149 - 86 = 63