Problema Solution

Tori invested $8000 in money market funds. Part was at 5% simple interest, and the rest was invested at 7% simple interest. At the end of 1 year. Torri had earned $496 in interest. How much did she invest in each fund?

Answer provided by our tutors

let


x = the money invested at the first fund with 5% simple interest

y = the money invested at the second fund with 7% simple interest


Tori invested $8000 in money market funds


x + y = 8000


At the end of 1 year. Torri had earned $496 in interest.


0.05x + 0.07y = 496


by solving the system of equations


x + y = 8000

0.05x + 0.07y = 496


we find


x = $3,200


y = $4,800


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Tori invested $3,200 in the first fund and $4,200 in the second fund.