How do I solve this problem?

Question

Your school is holding a fete this weekend. students have been pre-selling tickets; adult tickets are $5.00, and child tickets (six years old and under) are $2.50. from past experience, you expect about 13,000 people to attend the event.

 

this is the first year tickets prices have been reduced for the younger children, so you really don't know how many children tickets and how many adults tickets you can expect to sell. your boss wants you to estimate the expected tiket revenue.

 

you consult with your student ticket-sellers, and discover that they have not been keeping track of how many tickets they have sold. they only know that they sold 548 tickets for $2460. how much revenue from each child and adult tickets can you expect?

 

 

Can you please explain what method to use to solve this problem.

Answer 1

a = number of adult tickets

c = number of child tickets

 

5.00a = dollar amount of adult tickets

2.50c = dollar amount of child tickets

 

a + c = 548

5.00a + 2.50c = 2460

 

Multiply both sides of top equation by 5

 

5a + 5c = 2740

5a + 2.5c = 2460

 

Subtract bottom equation from top equation

 

2.5c = 280

c = 112

 

112 child tickets and 436 adult tickets were sold.