They sell child and adult tickets at a ratio of 8:1. THey sold 147 more child tickets than adult. How many tickets did they sell.

Question

an amusement park sells child and adult tickets at a ratio of 8:1.  They sold 147 more child tickets than adult tickets.  How many tickets did the amusement park sell?

Answer 1

Hi Brian - since the ratio is 8:1, the actual numbers could be 16:2, 24:3, etc...so the formula would is 8x : 1x

 

So, the difference between the child and adult tickets is 7x

 

We are told that the difference is 147 so we can say that 7x = 147

 

Solving for x, we get x = 21

 

So the actual numbers are 8*21 : 1*21, which are 168 child tickets and 21 adult tickets