Problema Solution

Marcus earned $6000 during his summer vacation. He invested part of the money at 8% and the rest at 7% If he received a total of $459 in interest at the end of the year, how much was invested at 8%

Answer provided by our tutors

let


x = the money invested at 8%

y = the money invested at 7%


Marcus earned $6000 during his summer vacation


x + y = 6000


he received a total of $459 in interest at the end of the year


0.08x + 0.07y = 459


by solving the system of equations


x + y = 6000

0.08x + 0.07y = 459


we find


x = $3,900


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he invested $3,900 at 8%.