Question

Adult tickets to the faculty-students basketball game sold for $5 each and student ticket was sold for $2 each. if 235 tickets were sold for a total of $725, how many of each kind of ticket were sold?

Answer 1

85 adult tickets

150 children tickets

Explanation:

we can write a system of equations and then use the 'elimination method':

let a = adult tickets

let c = children tickets

a + c = 235

5a + 2c = 725

we can multiply the first equation by -5 to get:

-5a - 5c = -1175

now we can add the second equation to get:

5a + 2c = 725

-3c = -450

c = 150

a + 150 = 235

a = 85