Problema Solution

Susan Marciano invested part of her $32000 bonus in a fund that paid 10% profit and invested the rest in a stock that suffered a 3% loss. Find the amount of each investment in her overall net profit was $2290. Please show all work.

Answer provided by our tutors

let


x = the money invested in the fund that paid 10% profit

y = the money invested in a stock that suffered 3% loss


the total money invested was $32,000 thus


x + y = 32000


overall net profit was $2290


0.10*x - 0.03*y = 2290


by solving the system of equations


x + y = 32000

0.10*x - 0.03*y = 2290


we find


x = $25,000


y = $7,000


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Susan invested $25,000 in the fund and $7,000 in the stock.