SOLUTION: Carl invests $10000, partly in a secure GIC at 5% and the rest in a mutual fund that he thinks will earn 7.5%. If he expects to earn the same amount of interest in both, how much

Algebra ->  Linear-equations -> SOLUTION: Carl invests $10000, partly in a secure GIC at 5% and the rest in a mutual fund that he thinks will earn 7.5%. If he expects to earn the same amount of interest in both, how much       Log On


   



Question 1085496: Carl invests $10000, partly in a secure GIC at 5% and the rest in a mutual fund that he thinks will earn 7.5%.
If he expects to earn the same amount of interest in both, how much did he invest at each rate?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=10000
and
0.05A=0.075B
A=%283%2F2%29B
Substituting,
%283%2F2%29B%2BB=10000
%285%2F2%29B=10000
Solve for B then use either equation to solve for A.