SOLUTION: A number of students decided to split a purchase of $120. However, 20 students failed to pay their share, so each student had to pay $25 more. How many students were in the origina

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A number of students decided to split a purchase of $120. However, 20 students failed to pay their share, so each student had to pay $25 more. How many students were in the origina      Log On


   

Question 1029724: A number of students decided to split a purchase of $120. However, 20 students failed to pay their share, so each student had to pay $25 more. How many students were in the original group?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
p, the number of students expected; p-20, the actual number of students who paid. The purchase cost is the same either way.

Original group member price, 120%2Fp.

Smaller group member price, 120%2Fp%2B25.
This smaller group was p-20 members.

highlight%28%28120%2Fp%2B25%29%28p-20%29=120%29