Fresh Market is making 22 1/2 pounds 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 nuts are needed for the trail mix? Express the answer as a fraction in simplest form.(1 point) WRITE IT AS A FRACTION
To find the amount of nuts needed for the trail mix, we first need to determine the combined fraction of raisins and M&M's candy in the mix.
The fraction of raisins in the mix is 1/3.
The fraction of M&M's candy in the mix is 1/5.
Adding these fractions together, we get 1/3 + 1/5 = 5/15 + 3/15 = 8/15.
Since the sum of these fractions represents the combined fraction of raisins and M&M's candy in the mix, the fraction representing the amount of nuts needed is the remainder: 1 - 8/15 = 15/15 - 8/15 = 7/15.
Therefore, 7/15 of the trail mix will be nuts.