Question 1205615
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The other tutor has the right approach; but somewhere in his work there is an error, leading to a nonsensical solution....<br>
x = # of $2 notes
3x = # of $5 notes
5x = # of $10 notes<br>
He spent all of his $10 notes, so the number he had left was 0.<br>
He spent 5/6 of his $5 notes, so the number he had left was (1/6) of 3x, or 0.5x.<br>
He didn't spend any of his $2 notes, so the number he had left was x.<br>
The value of his remaining notes was $783:<br>
{{{5(0.5x)+2(x)=783}}}
{{{2.5x+2x=783}}}
{{{4.5x=783}}}
{{{x=783/4.5=174}}}<br>
The amount he had at the start was<br>
{{{5x(10)+3x(5)+x(2)=(5)(174)(10)+(3)(174)(5)+(1)(174)(2)=174(50+15+2)=11658}}}<br>
ANSWER: $11,658<br>