Question 1045551
let x = the amount invested in b rated bonds.
let y = the amount invested in certificates of deposit.


x + y = 50000


this means that the total investment must be equal to 50,000 dollars.


.13x + .03y = 6000


this means that the total interest must be equal to 6,000 dollars.


these are 2 equations that need to be solved simultaneously.


i will solve by elimination.


start with:


x + y = 50000 (first equation)
.13x + .03y = 6000 (second eauation)


multiply both sides of the first equation by 13 and multiply both sides of the second equation by 100 to get:


13x + 13y = 650000
13x + 3y = 600000


subtract the second equation from the first to get 10y = 50000.


divide both sides of that equation by 10 to get y = 5000


since x + y = 50000, then x must be equal to 45000.


your solution should be that 45000 must be invested at 13% and 5000 must be invested at 3%.


.13 * 45000 + .03 * 5000 = 6000.


the solution looks good.