A charity group collected $6,750 worth of donations on Saturday, Sunday and Monday. They collected $1251 less on Saturday than on Sunday. The amount collected on Sunday was 4 times the amount collected on Monday. What was the amount on Sunday?

Let's start by assigning variables to the unknown amounts.

Let the amount collected on Sunday be x .

Since the amount collected on Saturday was $1251 less than on Sunday, the amount collected on Saturday can be represented as x - 1251 .

We are also given that the amount collected on Sunday was 4 times the amount collected on Monday. So, the amount collected on Monday can be represented as x/4 .

Now we can write an equation based on the total amount collected:

(x - 1251) + x + x/4 = 6750

Let's simplify the equation and solve for x :

\frac{9}{4}x-1251=6750

\frac{9}{4}x=6750+1251

\frac{9}{4}x=8001

To solve for x , we multiply both sides of the equation by \frac{4}{5} :

x=\frac{4}{9}\cdot8001

x=3556

Therefore, the amount collected on Sunday was $3556.