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?
The filled bag has a mass of 4 kilograms, which is 4000 grams.
The mass of the empty bag is 600 grams.
So the total mass of the cans is 4000 grams - 600 grams = 3400 grams.
Since there are 5 cans of equal mass, we can divide 3400 grams by 5 to find the mass of each can:
3400 grams / 5 = 680 grams
Therefore, each can has a mass of 680 grams.
To find the mass of each can, we need to start by finding the total mass of the cans and then divide that by the number of cans. Here's how you can calculate it step-by-step:
Step 1: Convert the mass of the bag from grams to kilograms.
Given that the bag has a mass of 600 grams, we need to convert it to kilograms by dividing by 1000.
600 grams ÷ 1000 = 0.6 kilograms
Step 2: Calculate the mass of the cans.
The mass of the filled bag is 4 kilograms, and the mass of the empty bag is 0.6 kilograms. Therefore, the difference between the two is the mass of the cans.
4 kilograms - 0.6 kilograms = 3.4 kilograms
Step 3: Divide the total mass of the cans by the number of cans.
Since there are 5 cans of equal mass, divide the total mass of the cans (3.4 kilograms) by 5 to find the mass of each can.
3.4 kilograms ÷ 5 = 0.68 kilograms
Step 4: Convert the mass of each can from kilograms to grams.
To convert the mass from kilograms to grams, multiply by 1000.
0.68 kilograms × 1000 = 680 grams
Therefore, each can has a mass of 680 grams.