Question

John took all his money out of his savings account. He spent $50 on a radio and 3/5 of what remained on presents. Half of what was left he put back in his checking account, and the remaining $35 he donated to charity. How much money did John originally have in his savings account?

Answer 1

Original amount=X Dollars.
Bought 50 dollar radio.
Bal.=X-50
(X-50)-3/5*(X-50)=2/5*(X-50) Bal.
1/2*2/5*(X-50)=1/5*(X-50) Bal.

1/5*(X-50)=35. Solve for X:
X=225=Original Amt.