# A Little Tricky Algebra word problem

Navin spent 25% of it and gave 2/5 of the remainder to his brother. He then spent the remainder amount on 9 story books. If each story book costs 12, how much did he have at first.

Let x be the amount that Navin had at first.

If Navin spend 25% of x, then he is left with 75% of x, 0.75x or (3/4)x.

Next, Navin gave 2/5 of the remainder to his brother.

2/5 of 0.75x = 2/5 × (3/4)x = (6/20)x = (3/10)x

He is left with (3/4)x - (3/10)x.

(3/4)x - (3/10)x = (30/40)x - (12/40)x = (18/40)x = (9/20)x

Navin spent 9 × 12 or 108 dollars on story books.

Navin is going to spend all the money that is left or (9/20)x on story books costing 108 dollars.

Therefore, (9/20)x = 108

Multiply both sides by 20/9

(20/9)(9/20)x = 108(20/9)

x = 2160/9

x = 240 dollars.

Navin started with 240 dollars.

## Recent Articles 1. ### High School Math Teacher

Jan 20, 20 03:17 PM

Top-notch information for those who want to become a high school math teacher. All important stuff that you need to know before making a move can be found right here on this website.

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius! Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.