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.