Question

Tickets at a soccer league game costs $2 for children and $5 for adults. If a total of 500 tickets were sold and the total money collected $1600 for a game, how many adult tickets were sold?​

Answer 1

Explanation:

500 = n of tickets for both children and adults

a = adults

c = children

500 = a + c

a = 500 - c

(2 × c )+ (5 × a) = 1600

a = 500- c

2c + (5 × ( 500- c )) = 1600

2c + 2500 - 5c = 1600

- 3c = 1600 - 2500

- 3c = - 900

c = 300

300 ticket for children

a = 200 ticket for adults