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I've been trying to reacquaint myself with math and I have forgotten some pretty simple things... 

Anyway,  the word problem goes like this:

"Ms. Jones invested $18,000 in two accounts. One account pays 6% simple interst and the other pays 8%. Her total interest for the year was $1,290. How much did she have in each account?"

 May 1, 2015

Best Answer 

 #1
avatar+23254 
+10

One way to work this problem is to use just one variable:

Let x represent the amount invested at 6%.

Since the total amount is $18,000.00, the other amount will be 18000 - x:

Let 18000 - x represent the amount invested at 8%.

The amount earned at 6% is 0.06·x                      (Rate x Amount)

The amount earned at 8% is 0.08·(18000 - x)       (Rate x Amount)

The amount earned at 6% plus the amount earned at 8% equals the total amount earned ($1,290.00)

So, the equation is:  0.06·x  +  0.08·(18000 - x)  =  1290

Can you finish solving this equation? 

 May 1, 2015
 #1
avatar+23254 
+10
Best Answer

One way to work this problem is to use just one variable:

Let x represent the amount invested at 6%.

Since the total amount is $18,000.00, the other amount will be 18000 - x:

Let 18000 - x represent the amount invested at 8%.

The amount earned at 6% is 0.06·x                      (Rate x Amount)

The amount earned at 8% is 0.08·(18000 - x)       (Rate x Amount)

The amount earned at 6% plus the amount earned at 8% equals the total amount earned ($1,290.00)

So, the equation is:  0.06·x  +  0.08·(18000 - x)  =  1290

Can you finish solving this equation? 

geno3141 May 1, 2015

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