Answer
One of them will receive 500 dollars, and the other one will receive 750 dollars.
Work Step by Step
Let X represent the amount one of them will receive.
Since both of them will receive 1250 dollars in total, the other one will receive 1250 - X.
This sum is to be divided in the ratio of 2 to 3, or $\frac{2}{3}$.
Now, let’s set up a proportion with the ratio given and a ratio which compares the amounts of money received.
So, $\frac{2}{3}$ = $\frac{X}{1250 - X}$.
To solve this equation, we equate the cross products.
2 $\times$ (1250 - X) = 3 $\times$ X
2500 - 2X = 3X
2500 = 5X
Divide both sides by 5.
X = 500
One of them will receive 500 dollars, and the other one will receive 1250 - 500 = 750 dollars.
