8 1/2 ounces of tuna is packed in a can which weighs 1 3/8 ounces. What is the total weight in pounds of a gross (144) of cans? ______ pounds
How do i start this?
The total weight of each can packed with tuna is the weight of the can plus the weight of the tuna. Multiply that total can weight by 144 to get the weight of 1 gross in OUNCES. Now convert that to POUNDS as requested by the problem.
Is it 88 7/8 pounds?
Yes, that is what I got.
To find the total weight in pounds of a gross of cans, we first need to calculate the weight of one can and then multiply that by the total number of cans in a gross (144).
Let's break down the given information step by step:
1. The weight of tuna packed in one can is 8 1/2 ounces.
2. The weight of the can itself is 1 3/8 ounces.
Now let's determine the total weight of one can by adding the weight of the tuna and the weight of the can:
8 1/2 ounces + 1 3/8 ounces
To add these fractions, we need to make sure the denominators (8, 2, and 8) are the same. We can do this by finding a common denominator:
8/2 + 1/2 + 3/8
Multiply the numerators by the same number to get a common denominator (8):
(8 × 4)/8 + (1 × 4)/2 + (3 × 1)/8
32/8 + 4/8 + 3/8
Now that all the fractions have the same denominator, we can add the numerators:
(32 + 4 + 3)/8
39/8
The total weight of one can is 39/8 ounces.
To find the total weight of a gross (144) of cans, we multiply the weight of one can by the total number of cans:
(39/8) ounces * 144 cans
To convert the total weight from ounces to pounds, we need to know that there are 16 ounces in one pound. So we divide the number of ounces by 16:
(39/8) ounces * (144 cans / 16 ounces per pound)
Simplifying the expression:
39 * 144 / (8 * 16)
Now we multiply the numerators and denominators:
5,616 / 128
Finally, divide the numerator by the denominator to get the total weight in pounds:
5,616 ÷ 128 = 43.875
Therefore, the total weight in pounds of a gross (144) of cans is approximately 43.875 pounds.