SOLUTION: John took all his money from his savings account. He spent ​$88 on a radio and 1/4 of what was left on presents for his friends. John then put 4/11 of his remaining money int

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: John took all his money from his savings account. He spent ​$88 on a radio and 1/4 of what was left on presents for his friends. John then put 4/11 of his remaining money int      Log On


   



Question 1113176: John took all his money from his savings account. He spent ​$88 on a radio and 1/4 of what was left on presents for his friends. John then put 4/11 of his remaining money into a checking account and donated the​ $420 that was left to charity. How much money did John originally have in his savings​ account?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
John took all his money from his savings account.
He spent ​$88 on a radio and 1/4 of what was left on presents for his friends.
John then put 4/11 of his remaining money into a checking account and donated the $420 that was left to charity.
How much money did John originally have in his savings​ account?
:
let a = original amt in the savings account
:
"He spent $88 on a radio and 1/4 of what was left on presents for his friends."
Therefore he kept 3/4 of what was left
3%2F4(a - 88)
(3%2F4a - 66) left
:
John then put 4/11 of his remaining money into a checking account and donated the $420 that was left to charity.
a = 4%2F11(3%2F4a - 66) + 420
a = 3%2F11a - 24 + 420
a = 3%2F11a + 396
a - 3%2F11a = 396
8%2F11a = 396
a = 11%2F8*396
a = $544.50 originally in his saving acct
:
Seems like we should have an even dollar amt here it checks out