Fresh market is making 22 and 1/2 lb of trail mix 1/3 of the mix will be raisins 1/5 of the mix will be m&M's candy and the remainder of the mix will be nuts how many pounds of the nuts are needed for the trail mix Express the answer as a fraction and its simplest form

To find the amount of nuts needed for the trail mix, we need to subtract the weights of raisins and M&M's candy from the total weight of the trail mix.

Weight of raisins = 22 1/2 lb * 1/3 = 22 1/2 lb / 3 = 45/2 lb / 3 = 45/6 lb = 15/2 lb
Weight of M&M's candy = 22 1/2 lb * 1/5 = 22 1/2 lb / 5 = 45/2 lb / 5 = 45/10 lb = 9/2 lb

Total weight of raisins and M&M's = 15/2 lb + 9/2 lb = 24/2 lb = 12 lb

Now, let's subtract this weight from the total weight of the trail mix:
Weight of nuts = 22 1/2 lb - 12 lb = 45/2 lb - 24/2 lb = 21/2 lb

Therefore, 21/2 lb of nuts are needed for the trail mix.