The Amusement park sells tickets at a ratio of 8:1. On Saturday they sold 147 more children tickets than adult tickets. How many tickets did they sell?

Question

The Amusement park sells tickets at a ratio of 8:1. On Saturday they sold 147 more children tickets than adult tickets. How many tickets did they sell?

Answer 1

So, your ratio of 8:1 is childrens tickets to adult tickets.

There are 8 times as many children tickets sold as adult tickets.

 

Let c = # children's tickets

Let a = # adult tickets

 

1)  c = 8a

2)  c = a + 147

 

8a = a + 147

7a = 147

a = 147/7

a = 21 adult tickets

 

c = 8a = 8(21) = 168 children's tickets

 

Total tickets = 21 + 168 = 189 tickets