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?

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?

Henry · Answer

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.