Question 1093141
let x = the amount invested at 4.5%.
let y = the amount invested at 5.0%.


total interest is 1450.


therefore .045*x + .05*y = 1450.


y = 2 * x, so you can replace y with 2x and your equation becomes .045*x + .05*2*x = 1450


factor out the x to get x * (.045 + .05*2) = 1450


simplify and combine like terms to get .145 * x = 1450


solve for x to get x = 10000


2x is therefore equal to 20000.


she has 10000 invested at 4.5% and 20000 invested at 5%.


that's your solution.


.045 * 10000 + .05 * 20000 = 1450