Question 1165105
<br>
The other tutor misread the problem, having twice as much at 3.5% as at 5%, instead of the other way around.<br>
You can solve the problem by his method -- just make x the amount invested at 3.5% and 2x the amount invested at 5%.<br>
Here is another way to solve the problem.<br>
With twice as much invested at 5% as at 3.5%, the average rate of return is<br>
{{{(2(.05)+1(.035))/3 = .045}}}<br>
Then, since the total interest was $1755,<br>
{{{1755 = .045x}}}
{{{x = 39000}}}<br>
The total amount invested was $39,000.  With twice as much at 5% as at 3.5%, that means $13,000 at 3.5% and $26,000 at 5%.<br>
ANSWER: $13,000 at 3.5%; $26,000 at 5%.<br>
CHECK: .035(13000)+.05(26000) = 455+1300 = 1755<br>