help me PLZ
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?
First, we need to find the mass of the cans alone. We can do this by subtracting the mass of the empty shopping bag from the mass of the filled bag with cans:
4 kilograms - 0.6 kilograms = 3.4 kilograms
Now we can divide the total mass of the cans by the number of cans to find the mass of each can:
3.4 kilograms ÷ 5 = 0.68 kilograms
Finally, we need to convert kilograms to grams:
0.68 kilograms = 680 grams
Therefore, each can has a mass of 680 grams.
To find the mass of each can in grams, you can follow these steps:
Step 1: Convert the mass of the canvas shopping bag to kilograms.
The mass of the bag is given as 600 grams. To convert this to kilograms, divide by 1000.
600 grams ÷ 1000 = 0.6 kilograms
Step 2: Calculate the total mass of the filled bag.
The mass of the filled bag is given as 4 kilograms.
Step 3: Determine the mass of the cans.
To find the mass of the cans, subtract the mass of the empty bag from the mass of the filled bag.
Mass of the cans = Mass of the filled bag - Mass of the empty bag
Mass of the cans = 4 kilograms - 0.6 kilograms
Step 4: Convert the mass of the cans to grams.
To convert the mass of the cans from kilograms to grams, multiply by 1000.
Mass of the cans = (4 kilograms - 0.6 kilograms) x 1000 grams/kilogram
Step 5: Divide the total mass of the cans by the number of cans to find the mass of each can.
If you have 5 cans of equal mass, divide the total mass of the cans by 5.
Mass of each can = (4 kilograms - 0.6 kilograms) x 1000 grams/kilogram ÷ 5
By following these steps, you can determine the mass of each can in grams.