Question 1092108
x amount is invested in bonds and at 17% interest per year (i=prt), the interest is x*0.17
The remainder is not known and could be called y, but since I know the two add to $50,000, I can call it $50000-x, since x +50000-x=50000.  This way, I can use one variable.  The interest for the other is the principal, or (50000-x)*7%
The interest on each is the product
x in Bonds at 17% or .17x interest per year
50000-x at 7% or 3500-.07x interest per year, multiplying 50000 by 0.07 and -x by 0.07.  That is 3500-0.07x
That sum is $5000; in other words, .17x+3500-0.07x=3500+0.10x.
3500+0.10x=5000, because $5000 total interest is desired.
0.10x=1500; divide both sides by 0.10
x=$15,000 in bonds, and 17% of that is $2550
50000-x is $35000 in CDs, and 7% of that is $2450
They add to $5000.