Question 320305
Let x return 4% and let y return 2.25%.


Total money invested is $33,000


Total interest earned is $970.


You get:


x + y = $33,000 (total money)


and you get:


.04*x + .0225*y = 970 (total interest)


You need to solve these 2 equations simultaneously.


Take the first equation and solve for x or y.


Solving for y, you get y = 33000 - x.


Substitute for y in the second equation to get:


.04 * x + .0225 * (33000 - x) = 970


You have now reduced the number of unknowns in the equation to 1 which can be solved.


Simplify to get:


.04 * x + .0225 * 33000 - .0225 * x = 970


Combine like terms to get:


.0175 * x + .0225 * 33000 = 970


Simplify further to get:


.0175 * x + 742.5 = 970


Subtract 742.5 from both sides of the equation to get:


.0175 * x = 227.5


Divide both sides of the equation by .0175 to get:


x = 13000


Since x + y = 33000, that means that y must be equal to 33000 - 13000 which makes y equal to 20000.


You have x = 13000 and y = 20000 which makes x + y = 33000


You have .04*x + .0225 * y becomes .04 * 13000 + .0175 * 20000 which becomes 520 + 450 which makes .04*x + .0225 * y = 970.


Both equations check out with the values of x = 13000 and y = 20000 so you're good.


That $33,000 minus $1,000 must have been a typo.


It was supposed to be $33,000 - $13,000.