Question

John took all his money from his savings account. He spent ​$110 on a radio and 4/11 of what was left on presents for his friends. John then put 2/5 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 1

$1210

Explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

`(7)/(11)(x-110)=(7)/(11)x-70`

Then he put 2/5 of his remaining money into a checking account

`(3)/(5)\left((7)/(11)x-70\right)`

Rest he donated to charity

`420=(3)/(5)\left((7)/(11)x-70\right)\\\Rightarrow \left((7)/(11)x-70\right)=(2100)/(3)\\\Rightarrow (7)/(11)x-70=700\\\Rightarrow (7)/(11)x=770\\\Rightarrow x=1210`

Hence total amount of money John originally had was $1210