SOLUTION: $10,000 is invested, part at 4% and the rest at 5% interest. The annual interest from the 4% investment is $40 more than that from the 5% investment. Find the amounts at 4% and 5%

Question 1151415: $10,000 is invested, part at 4% and the rest at 5% interest. The annual interest from the 4% investment is $40 more than that from the 5% investment. Find the amounts at 4% and 5%
Thanks in advance
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
$is invested, part at % and the rest at % interest.
Let
= amount in dollars invested at %
= amount in dollars invested at %

......eq.1
Convert above information into income.
(Interest = Principal * Rate* Time)
If you put in the bank at %=, your interest would be
and at %=, your interest earned from % would be
if the annual interest from the % investment is $ more than that from the % investment, we have

‭now find
......eq.1

So, $ was invested ‬at % and $ at %
check annual interest:
$
$ =>difference is $

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