SOLUTION: chris collected toys for charity. he donated 3/4 to charity A and then 1/3 of the remaining to charity B. After the two donations, Chris had 10 toys left. How many did Chris origi

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: chris collected toys for charity. he donated 3/4 to charity A and then 1/3 of the remaining to charity B. After the two donations, Chris had 10 toys left. How many did Chris origi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 698836: chris collected toys for charity. he donated 3/4 to charity A and then 1/3 of the remaining to charity B. After the two donations, Chris had 10 toys left. How many did Chris originally collect?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
chris collected toys for charity. he donated 3/4 to charity A and then 1/3 of the remaining to charity B.
After the two donations, Chris had 10 toys left. How many did Chris originally collect?
:
let x the original number of toys
:
x - 3%2F4x = 1%2F4x after the first donation
then after 1/3 of the remainder is donated you have:
2%2F3*1%2F4x = 10
2%2F12x = 10
2x = 12*10
2x = 120
x = 60 toys originally
:
:
You can check this in the original equations