SOLUTION: Mr Ahmad recently found a new job after upgrading his skills. When he received his first-month bonus, he deposited half of the amount in the bank. He used 1/8 of the remaining b

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mr Ahmad recently found a new job after upgrading his skills. When he received his first-month bonus, he deposited half of the amount in the bank. He used 1/8 of the remaining b      Log On


   

Question 1151422: Mr Ahmad recently found a new job after upgrading his skills. When he received his first-month bonus, he deposited half of the amount in the bank. He used
1/8 of the remaining bonus to buy a pair of shoes for his wife, and then he bought his friends 3 belts, worth $36 each. In the end, he had $382 left in his wallet. What was Mr Ahmad's first-month bonus?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the amount of the bonus. Then...

He deposits half in the bank. The amount remaining is x-%281%2F2%29x+=+%281%2F2%29x.

He spends 1/8 of what is left for the shoes. The amount remaining is %281%2F2%29x-%281%2F8%29%2A%281%2F2%29x.

He then spends $108 on three belts. The amount remaining is %281%2F2%29x-%281%2F8%29%2A%281%2F2%29x-108.

The amount he has left is $382:

%281%2F2%29x-%281%2F8%29%2A%281%2F2%29x-108+=+382

Solve using basic algebra....