Answer
The system of equations that can be used to solve for the number of pumpkins and squashes sold is
5p + 3s = 98
s = p + 6
After solving this, we can tell that the stand sold 10 pumpkins and 16 squashes.
Step-by-step explanation
The stand sells p pumpkins for 5 dollars each and s squashes for 3 dollars each.
This means that
The total price of p pumpkins at a rate of 5 dollars each = p × 5 = 5p dollars
The total price of s squashes at a rate of 3 dollars each = s × 3 = 3s dollars
But on Monday, we are told that the stand sold 6 more squashes than pumpkins. In mathematical terms, this means
s = p + 6
And we are told further that the total amount made from selling these p pumpkins and s squashes = 98 dollars
Amount made from selling p pumpkins and s squashes = (5p + 3s) dollars
So, we can form the system of equations now
5p + 3s = 98
s = p + 6
We can then go ahead to solve this by substituting for s in the first equation
5p + 3s = 98
s = p + 6
5p + 3 (p + 6) = 98
5p + 3p + 18 = 98
8p + 18 = 98
8p = 98 - 18
8p = 80
Divide both sides by 8
(8p/8) = (80/8)
p = 10
s = p + 6
s = 10 + 6 = 16
Hope this Helps!!!