In his will, Uncle Clarence left
$5000 to his two nieces. Emma’s
share is to be $500 more than
Clara’s. How much should each
niece receive?

Question

In his will, Uncle Clarence left
$5000 to his two nieces. Emma’s
share is to be $500 more than
Clara’s. How much should each
niece receive?

anonymous · Answer

Your total is going to be set equal to 5000. Let x be the amount Clara gets, and x+500 is the amount Emma gets. Set up the equation with that information.

anonymous · Answer

5000-x=500+x
        +x        +x
5000=500+2x
-500  -500
$$\frac{ 4500 }{ 2 } = \frac{ 2x }{ 2 }$$
x=2250
Clara's share $2,250
Emma's share $5,000 - 2250  = $2,750
Is this right?