An Adult Ticket To The Fair Costs 5 00 While A Child 39 S Ticket Costs 3 00

If the number of children was three more than the number of adults, and a total of $73.00 was spent, find the number of children who went.

Solution

Let c = number of children and a = number of adults. We can represent this problem with a system of equations and solve by substitution.   c = a +3 5a + 3c = 73   5a + 3(a+3) = 73 5a + 3a + 9 = 73 8a + 9 = 73 8a = 64 a = 8, 8 adults   We can use the number of adults to find the number of children that went to the fair. c = a + 3 c = 8 + 3 c = 11   11 children went to the fair.