Question 1204637
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A different setup for solving the problem.  Not better, just different....<br>
If Angela gave Carla $20, they would each have the same amount.<br>
Let x be the amount they would each have if Angela gave Carla $20.<br>
Then the amount Angela starts with is x+20, and the amount Carla starts with is x-20.<br>
So if Carla gave Angela $22, the amount Angela would have would be x+20+22 = x+42, and the amount Carla would have would be x-20-22 = x-42.  In that case, Angela would have twice as much as Carla:<br>
{{{x+42=2(x-42)}}}
{{{x+42=2x-84}}}
{{{x=126}}}<br>
So the amounts each of them has is...<br>
ANSWERS:
Angela: x+20 = $146
Carla: x-20 = $106<br>
Note that by looking for a different way to set up the problem, we can solve the problem using a single variable.  That often makes the work easier....  (But not always)<br>