SOLUTION: Help Please!! A loan officer at a bank has 1,000,000 to lend and is required to obtain an average return of 18%. If he can lend at the rate of 19% and 16%, how much can he lend a

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Help Please!! A loan officer at a bank has 1,000,000 to lend and is required to obtain an average return of 18%. If he can lend at the rate of 19% and 16%, how much can he lend a      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 5059: Help Please!! A loan officer at a bank has 1,000,000 to lend and is required to obtain an average return of 18%. If he can lend at the rate of 19% and 16%, how much can he lend at the 16% rate and still meet his requirements? Thanks for your Help. Caroline
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = amount invested at 16%. The rest of the $1,000,000, which is
1000000-x = amountinvested at 19%. The total investment must be 18% of $1000000.

.16x + .19(1000000-x) = .18(1000000)
.16x + 190000 - .19x = 180000
-.03x = -10000

Divide both sides by -.03
x+=+%28-10000%29%2F%28-.03%29=+1000000%2F3+, which is 1/3 of the million dollars:
x = $333,333.33 at 16%

R^2 at SCC