Question 1184354
<br>
The three boys each spent the same amount; and Andy and Ben each saved 2/3 of their money and saved 1/3.  So Andy and Ben started with the same amounts.<br>
Let x = amount Andy and Ben each started with
Let y = amount Cain started with<br>
The total they started with was $440:
{{{x+x+y=440}}}
{{{2x+y=440}}} [1]<br>
Andy and Ben each spent 1/3 of their money, and Cain spent 3/4 of his; and Andy and Ben each spent the same amount as Cain:
{{{(1/3)x=(3/4)y}}}
{{{4x=9y}}}
{{{4x-9y=0}}} [2]<br>
Solve [1] and [2] by elimination<br>
{{{4x+2y=880}}}  (multiply [1] by 2)
{{{4x-9y=0}}}
{{{11y=880}}}
{{{y=80}}}<br>
{{{4x=9y=720}}}
{{{x=180}}}<br>
Andy and Ben each started with $180 and spent $60, saving $120 each.
Cain started with $80 and spent $60, saving $20.<br>
Together they started with $180+$180+$80=$440.<br>
Together they spent $60+$60+$60=$180.<br>
Together they saved $120+$120+$20=$260.<br>
ANSWER: They saved $260.<br>