how do you solve this?

Question

i can't figure out this math problem:
yolanda invests $6000.some of the money is invested in stocks paying 6% a year and some in bonds paying 11% a year.she receives a total of $580 each year from these investments.how much money is invested in stocks and how much money in bonds?

please help me. i've been trying to do this problem for an hour.

it's only 8th grade algebra.... well, it is honors, but i really need help with this....

thank you soooo much! now i can finally do the rest of my homework!!!

Answer 1

lets say x= amount invested stocks and y the amount invested in bonds

x+y =6000 (y=6000-x)
0.06x+0.11y =580 (substitute 6000-x in place of y)

0.06x +0.11(6000-x) =580
0.06x +660-0.11x = 580
660-580 = 0.11x -0.06x
80 = 0.05x
80/0.05 = x
x =$1600 therefore y = 6000-1600= 4400

She invests $1600 in stocks and $4400 in bonds.

Answer 2

Ok the basic investment is $6000

Let call Stocks "S" and Bonds "B"

so that S + B = 6000

calculating the interest you have (0.06 x S) +(0.11 x B) = 580

So now you have two equations and two unknowns. Solve one equation for one of the unknowns substitute it into the other equation and solve it.