Problema Solution

Kevin invested part of his $10,000 bonus in a cd that paid 6% interest, and the rest in a fund that paid 11% interest. If his total interest was $900, how much did Kevin invest in the fund?

Answer provided by our tutors

let


x = the money invested in a cd that paid %6 interest


y = the money invested in a fund that paid 11% interest


Kevin invested part of his $10,000 bonus in a cd that paid 6% interest, and the rest in a fund that paid 11% interest:


x + y = 10,000


his total interest was $900:


0.06x + 0.11y = 900


by solving the system of equations:


x + y = 10000


0.06x + 0.11y = 900


we find:


x = $4,000


y = $6,000


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Kevin invested $6,000 in the fund.