Word problem

Question

The club plans a supper to raise $1,200. They can serve 240 people. They will charge $6 for adult tickets and $2 for children's tickets. How many adult and children tickets should they sell to make $1,200?

Answer 1

Let x = number of adult tickets and y = number of children's tickets. We can write a system of equations using x and y:

 

"They can serve 240 people" means

x + y = 240

 

"They will charge $6 for adult tickets and $2 for children's tickets, and the club plans to raise $1,200" means

6x + 2y = 1200

 

Solve the first equation for x to get x = 240 - y, then substitute into the second equation and solve for y:

 

6(240 - y) + 2y = 1200

1440 - 6y + 2y = 1200

-4y = -240

y = 60

 

That means they should sell 60 children's tickets. Plug y = 60 into the first equation and solve for x:

 

x + 60 = 240

x = 180

 

That means they should sell 180 adult tickets.