Question 169808
Yep.

The total invested in bonds AND money market is twice the amound in stocks, so if x represents the amount invested in stocks, then 2x represents the amount invested in both bonds AND money market funds, therefore:


{{{x+2x=45000}}} is the correct first equation.  Solving, {{{x=15000}}}, so the total invested in stocks was $15,000 and the total invested in bonds AND money market was $30,000.


That means that the total return with respect to stocks was 10% of 15,000 or $1500.  It also means that the total return with respect to bonds AND money market funds was $3,660 - $1,500 or $2,160.


Let's now say that the amount invested in bonds is b and the amount invested in the money market is m.


We know two things:


{{{b+m=30000}}} and


{{{.07b+.075m=2160}}}


Rearranging the first equation we get {{{m=30000-b}}} and then substituting in the second equation we get:


{{{.07b+.075(30000-b)=2160}}}


Now simply solve for b and then subtract the value of b from 30000 to get m.


Hope that helps.