Problema Solution

rachel invests some money at 4% and invests three times that amount at that amount of 6%. if the total annual interest is $275, how much is invested at each rate?

Answer provided by our tutors

let


x = the money invested at 4%

y = the money invested at 6%


Rachel invests some money at 4% and invests three times that amount at that amount of 6%


y = 3x


the total annual interest is $275


0.04x + 0.06y = 275


by solving the system of equations


y = 3x

0.04x + 0.06y = 275


we find


x = $1,250


y = $3,750


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$1,250 are invested at 4%.

$3,750 are invested at 6%.