Counting Squash or Smashing Pumpkins (if you are in to that sort of thing).
A field contains 25 squash, each of which is either a pumpkin or a zucchini. There are more pumpkins than zucchini. If you go into the field and select two squash at random, the probability that they are both pumpkins or both zucchini is equal to the probability that one is a pumpkin and the other is a zucchini. How many pumpkins are in the field?
Please submit all solutions to mathpotw@acu.edu no later than 5:00 PM on Thursday, Oct 21.
There were two correct solutions submitted by Wyatt Witemyer and Jett Patterson. The solution is below.
