Question #758c8
2 Answers
Explanation:
Let:
and
So now we can write a system of equations.
We know the total amount invested is
The total annual interest on both accounts is
Now, we just need to solve the system of equations:
We could use elimination. Let's multiply the bottom equation by
0.10x+0.06y=270
0.10x+0.10y=300
We get:
So, the answer is 750 euros was invested at
We don't even need to solve for
Assumption: Combined interest is 270.
The wording in the question is a bit ambiguous.
Invested 750 at 6%
Explanation:
If you are able to combine the given information in such a way that you only have 1 unknown then you are 'home and dry'.
Let the sum invested at 10% be
Then the sum invested at 6% is
Given that the total interest is 270 we have:
Thus amount invested at 6% is
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