A canvas shopping bag has a mass of 600 grams.
When 5 cans of equal mass are put into the bag, the filled bag has a mass of 4 kilograms.
What is the mass of each can in grams?
A.
120 grams
B.
680 grams
C.
720 grams
D.
800 grams
We can begin by setting up an equation using the given information. Let x be the mass of each can in grams. Then we have:
600 + 5x = 4000
Subtracting 600 from both sides, we get:
5x = 3400
Dividing both sides by 5, we get:
x = 680
Therefore, the mass of each can in grams is 680 grams. The answer is (B).
To find the mass of each can in grams, we need to first determine the mass of the filled bag without the cans.
We are given that the canvas shopping bag itself has a mass of 600 grams. So, the weight of the bag without the cans is 600 grams.
The total mass of the filled bag is 4 kilograms, which is equal to 4000 grams.
To find the mass of each can, we need to subtract the weight of the bag from the total weight of the filled bag.
Mass of filled bag without cans = Total mass of filled bag - Mass of bag
= 4000 grams - 600 grams
= 3400 grams
Now, we need to divide the mass of the filled bag without the cans by the number of cans (5) to find the mass of each can.
Mass of each can = Mass of filled bag without cans / Number of cans
= 3400 grams / 5
= 680 grams
Therefore, the mass of each can is 680 grams, which is option B.