Question 54880
Ax+By=C [Use the standand formula of a line]
A=the rate, percent or cost of item A
x=the amount or number of item A
B=the rate, percent or cost of item B
y=the rate, percent or cost of item B
C=(the total amount)(average rate)
x+y=C so y=(Total amount of C-x] or y=C-x [Substitution for the y variable]
.
(0.065)(x)+(0.07)(25,000-x)= 1683.75 [Plug-in the values]
0.065x+1750-0.07-x= 1683.75 [Simplify]
0.065x-0.07-x= 1683.75-1750 [Solve for x]
-.005x=-66.26
x=$13,250
.
(6.5%)($13,250)=(0.065)(13,250)=$861.25 invested at 6.5%
(7.0%)($25,000-x)=0.07(25,000-13,250)=1750-927.50=$822.50 invested at 7.0%
So, $861.25+$822.50=$1683.75