Problema Solution

$5900 is invested, part of it at 10% and part of it at 6%. for a certain year, the total yeild $478.00. how much was invested at each rate?

Answer provided by our tutors

let


x = the money invested at 10%

y = the money invested at 6%


the total money invested is $5900


x + y = 5900


the yield from x + the yield from y = the total yield is $478


0.1*x + 0.06*y = 478


by solving the system of equations


x + y = 5900

0.1*x + 0.06*y = 478


we find


x = $3100


y = $2800


$3100 we invested at 10% rate and $2800 were invested at 6% rate.