A roadside vegetable stand sells pumpkins for $5 each and squash for $3 each. One day they sold six more squash then pumpkins and their sales totaled $98.00. Write a system of equations to find the number of pumpkins and squash they sold.
s = p + 6
3 s + 5 p = 98
To solve this problem, let's first assign variables to the unknown quantities. Let's call the number of pumpkins sold "p" and the number of squash sold "s".
Now, let's translate the given information into equations:
1) "One day they sold six more squash than pumpkins."
This can be written as: s = p + 6
2) "Their sales totaled $98.00."
This means that the total revenue from selling pumpkins and squash is $98.00.
The revenue from pumpkins is given by the equation: 5p (since each pumpkin sells for $5).
The revenue from squash is given by the equation: 3s (since each squash sells for $3).
Therefore, the total revenue equation is: 5p + 3s = 98
So, the system of equations that represents the situation is:
s = p + 6
5p + 3s = 98