# Help with a word problem: A man invests $2200 in three accou #### nikki26 ##### New member Interest: A man invests$2200 in three accounts that pay 6%,8%, and 9% annual interest, respectively. He has three times as much invested at 9% as he does at 6%. If his total interest for the year is \$178, how much has he invested?

I dont know how to set this problem up. If some one would be so kind as to show me I would be grateful.

#### galactus

##### Super Moderator
Staff member
Break the problem up into linear equations.

Set up the interest:

$$\displaystyle \L\\.06x+.08y+.09z=178$$

3 times as much invested at 9% as 6%:

$$\displaystyle \L\\3x=z$$

Total amount invested:

$$\displaystyle \L\\x+y+z=2200$$

Now, do the appropriate subbings and you should be on your way.

#### stapel

##### Super Moderator
Staff member
Re: Help with a word problem

nikki26 said:
I dont know how to set this problem up. If some one would be so kind as to show me I would be grateful.
You might want to try following the step-by-step instructions provided to you in your earlier post on this exercise.

Thank you.

Eliz.