Homework Help: math

Posted by jamie lynn on Wednesday, June 13, 2012 at 8:40pm.

Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an investment paying 10%. If the total income on three investments was $290, than how much did she invest at each rate?

math - Reiny, Wednesday, June 13, 2012 at 11:07pm
amount invested at 8% --- x
amount invested at 10% -- 3000-x

.08x + .10(3000-x) = 290
.08x + 300 - .1x = 290
-.02x = -10
x = -10/-.02 = 500

so $500 invested at 8% and 2500 invested at 10%

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