I need to find the pric of tickets

Question

seven kids and two adults are going to the circus.  Kids tickets are on sale for only half the price of adult ticket.  The total cost is $49. How much are the tickets?

Answer 1

Let's find our two equations. Kids tickets (K) are half the price of adult tickets (A), so K = 1/2A. Seven kids and two adults went to the circus for $49, so 7K + 2A = 49. We want to isolate K in this second equation so we subtract both sides by 2A and get 7K = 49 - 2A. Divide both sides by 7 and we get K = 7 - 2/7A.

Then, we substitute K in the first equation for K in the second equation and get 1/2A = 7 - 2/7A. Adding 2/7A to both sides, we get 11/14A = 7. Divide both sides by 11/14 (i.e. multiply by 14/11), and A = $8.90.

K = 1/2A, so K = 1/2(8.91), or $4.45. The tickets are $4.45 for a children's ticket and $8.90 for an adult ticket.