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Question from georgia, a parent:

if you invest $500\$$ at a 7% annum and the balance at a 10% annum and your interest earned is $44\$$ annum how much was invested in the 7% and how much in the 10%.

Hi Georgia,

I think the question should read

If you invest 500$, some at a 7% annum and the balance at a 10% annum and your interest earned is 44$ annum how much was invested in the 7% and how much in the 10%.

Let $d\$$ be the amount you invest at 7% then the amount you invest at 10% is $500\$ - d\$.$ After one year the $d\$$ has earned $0.07 \times d\$$ interest. How much interest do you earn from the investment at 10%? The total interest earned is $44\$.$ Solve for d.

Penny

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