Problema Solution

$2372 is invested, part at 12% the rest at 9%. If the interest from the amount invested at 12% exceeds the interest earned from the amount at 9% by $66.24. How much is invested at each rate?

Answer provided by our tutors

let


x = the money invested at 12%


y = the money invested at 9%


$2372 is invested, part at 12% the rest at 9%:


x + y = 2372


the interest from the amount invested at 12% exceeds the interest earned from the amount at 9% by $66.24:


x = y + 66.24


by solving the system of equations:


x + y = 2372


x = y + 66.24


we find:


x = $1,219.12


y = $1,152.88


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$1,219.12 were invested at 12% and $1,152.88 were invested at 9%.