PLZ HELP
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 start by finding the mass of the cans alone. We know that the filled bag (with the cans inside) has a mass of 4 kilograms or 4000 grams. We also know that the empty bag has a mass of 600 grams. Therefore, the mass of the cans alone is:
Mass of cans = Total mass - Empty bag mass
Mass of cans = 4000 g - 600 g
Mass of cans = 3400 g
Since we have 5 cans of equal mass, we can divide this total mass by 5 to find the mass of each can:
Mass of each can = Mass of cans / Number of cans
Mass of each can = 3400 g / 5
Mass of each can = 680 g
Therefore, the answer is (B) 680 grams.
To find the mass of each can in grams, we can subtract the mass of the empty bag from the mass of the filled bag and divide the result by the number of cans.
Step 1: Convert the mass of the filled bag from kilograms to grams.
4 kilograms = 4000 grams
Step 2: Subtract the mass of the empty bag (600 grams) from the mass of the filled bag (4000 grams).
4000 grams - 600 grams = 3400 grams
Step 3: Divide the result by the number of cans (5) to find the mass of each can in grams.
3400 grams / 5 cans = 680 grams
Therefore, the mass of each can in grams is 680 grams. Option B is correct.