Question

The seniors at Travis High School have three purchase options for their yearbook.

Option 1: They can purchase a copy of the yearbook and a one-page ad for $35.

Option 2: They can purchase a copy of the yearbook and a one-half page ad for $25.

Option 3: They can purchase a copy of the yearbook for $15.

Last year, the yearbook committee sold 475 yearbooks for a total of $13,275. Forty-five more seniors chose option 1 than option 2. How many seniors chose each of the three different options?

Answer 1

x chose option 2
x+45 chose option 1
the rest (475-x-(x+45)) chose neither

now add up all the money

35(x+45)+25x+15(430-2x) = 13275

solve for x and then you're on your way.