If 7 3/8 pounds of peanuts, 2 1/4 pounds of walnuts, and 1 pound of pecans are divided equally to create 5 bags of mixed nuts, how much does each bag weigh?
2 1/4 = 2 2/8
7 3/8 + 2 2/8 + 1 = 10 5/8 = 85/8
85/8 / 5 = (85/8) * (1/5) = 85/40 = 2 5/40 = 2 1/8 pounds
To find out how much each bag weighs when the total weight of the peanuts, walnuts, and pecans is divided equally among 5 bags, you need to add the weights of the peanuts, walnuts, and pecans and then divide by 5.
First, let's convert the mixed numbers into improper fractions:
7 3/8 pounds of peanuts can be written as (7*8 + 3)/8 = 59/8 pounds.
2 1/4 pounds of walnuts can be written as (2*4 + 1)/4 = 9/4 pounds.
1 pound of pecans can be written as 1/1 or simply 1 pound.
Now, let's add the weights together:
59/8 + 9/4 + 1 = (59/8 + 18/8 + 8/8) = 85/8 pounds.
Finally, divide the total weight (85/8 pounds) by the number of bags (5) to find the weight of each bag:
85/8 ÷ 5 = 85/8 * 1/5 = (85 * 1) / (8 * 5) = 85/40 = (5 * 17)/(5 * 8) = 17/8 pounds.
Therefore, each bag of mixed nuts would weigh 17/8 pounds or 2 1/8 pounds.