Problema Solution

Last year, Martina had

$10,000

to invest. She invested some of it in an account that paid

9%

simple interest per year, and she invested the rest in an account that paid

10%

simple interest per year. After one year, she received a total of

$980

in interest. How much did she invest in each account?

Answer provided by our tutors

let


x = the money invested in an account that paid 9% simple interest per year


y = the money invested in an account that paid 10% simple interest per year


Last year, Martina had $10,000 to invest:


x + y = 10,000


After one year, she received a total of $980 in interest:


0.09x + 0.10y = 980


by solving the system of equations:


x + y = 10000


0.09x + 0.10y = 980


we find:


x = $2,000


y = $8,000


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Martina invested $2,000 in an account that pays 9% simple interest per year and $8,000 in an account that pays 10% simple interest per year.