Final answer:
To determine the total number of pumpkins, we can set up equations based on the given color conditions and find the common solution.
Step-by-step explanation:
The question is asking how many pumpkins there are based on certain color conditions. The sentence 'They are all orange but three; all are white but five; and all are green but 6' can be translated into three separate equations:
- Orange Pumpkins = Total Pumpkins - 3
- White Pumpkins = Total Pumpkins - 5
- Green Pumpkins = Total Pumpkins - 6
To find the total number of pumpkins, we need to find the value that satisfies all three equations. We need to find a number that is 3 less than the total, 5 less than the total, and 6 less than the total. The common solution for these conditions is 11. Therefore, there are 11 pumpkins in total.