SOLUTION: A SMALL CORPORATION BORROWED $800,000 TO EXPAND ITS LINE OF TOYS. SOME OF THE MONEY WAS BORROWED AT 8%, SOME AT 9%, AND SOME AT 10%. HOW MUCH WAS BORROWED AT EACH RATE IF THE ANN

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First, let's name the variables.
E=amount borrowed at 8%
N=amount borrowed at 9%
T=amount borrowed at 10%
Next, let's write down what you know.
1.Amount Borrowed :
2.Total Interest :
3.Relationship between E and T :
Let's substitute equation 3 into equations 1 and 2.
1.
1.
1.
2.
2.
2.
2.
Now let's use equation 1 and solve for N in terms of T.
1.
1.
We can substitute that result into 2 and solve for T.
2.






From 1,
1.


and from 3,



Let's check the answers.



True statement.




True statement.
Your answers led to true statement.
They're good answers.
$625,000 borrowed at 8%
$50,000 borrowed at 9%
$125,000 borrowed at 10%