An adult ticket to the fair costs $5.00 while a child's ticket costs $3.00.

Question

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.

Answer 1

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.