65 children tickets were sold that day.
Work.
Given that:
child admission = $5.30
adult admission = $9.90
tickets sold = 120
total sales = $889.00
Solve for number of child tickets sold.
Set up two equations.
Price equation:
5.30c + 9.90a = 889.00
Ticket equation:
c + a = 120
Solve for a by isolating c.
c = 120 - a
Substitute it back into the first equation.
5.30(120 - a) + 9.90a = 889
636 - 5.30a + 9.90a = 889
636 + 4.6a = 889
889 - 636 = 4.6a
253/4.6 = a
a = 55
Thus, 55 adults tickets were sold.
Substitute it to solve for c.
c = 120 - a
c = 120 - 55
c = 65
Therefore, 65 children tickets were sold.
