David has 3 bags of groceries weighing a total of 25 1/2 pounds. Two of the bags weigh 7 5/8 and

4 3/4. How much does the third bag weigh?

C.13 1/8

25 1/2 - 7 5/8 - 4 3/4 = ?

🤦🏾‍♂️

To find the weight of the third bag of groceries, we need to subtract the combined weight of the first and second bags from the total weight of all three bags.

First, let's express the weights of the first two bags as improper fractions.

Weight of the first bag = 7 5/8 pounds = (8 * 7 + 5)/8 = 56/8 + 5/8 = 61/8 pounds.
Weight of the second bag = 4 3/4 pounds = (4 * 4 + 3)/4 = 16/4 + 3/4 = 19/4 pounds.

Now, let's add the weights of the first two bags to get the combined weight.
Combined weight of the first two bags = 61/8 + 19/4 = (61 * 4 + 8 * 19)/(8 * 4) = 244 + 152/32 = 396/32 = 12 3/8 pounds.

Finally, subtract the combined weight of the first two bags from the total weight of all three bags to get the weight of the third bag.
Total weight of all three bags = 25 1/2 pounds = (25 * 2 + 1)/2 = 50/2 + 1/2 = 51/2 pounds.

Weight of the third bag = Total weight of all three bags - Combined weight of the first two bags
= 51/2 - 12 3/8
= (51 * 8 + 2 * 3 - 12 * 8)/(2 * 8)
= 408 + 6 - 96/16
= (408 + 6 - 6)/16
= 408/16
= 25 1/2 pounds.

Therefore, the weight of the third bag is 25 1/2 pounds.