Problema Solution
emma had $1000 to invest last year. she invested some in a guaranteed 9% interest account. she put the rest in a risker account and ended up losing 5% on the investment. if by the end of the year she hade made $9.50 as a result of both investments, how much did she invest in each account?
Answer provided by our tutors
let
g = the money invested in a guaranteed 9% interest account
r = the money invested in a riskier account with 5% loss
emma had $1000 to invest last year
g + r = 1000
by the end of the year she hade made $9.50
(9/100)*g - (5/100)r = 9.50
0.09g - 0.05r = 9.50
by solving the system of equations
g + r = 1000
0.09g - 0.05r = 9.50
we find
g = $425 were invested in the guaranteed 9% interest account
r = $575 were invested in a riskier investment
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