A bag containing 5 apples has a mass of 1 kilogram 200 grams. The mass of the empty box is 360 grams. What is the mass of each apple if the apples have the same mass?
Understand the Problem
The question describes a bag containing five apples and asks us to find the mass of each apple. The total mass of the bag with apples is given as 1 kilogram and 200 grams. The mass of the empty bag is also given as 360 grams. To find the mass of each apple we must convert everything to grams, subtract the mass of the bag, and then divide by the number of apples.
Answer
$168$ grams
Answer for screen readers
The mass of each apple is $168$ grams.
Steps to Solve
- Convert the total mass to grams
Since 1 kilogram is equal to 1000 grams, 1 kilogram and 200 grams is equal to: $1000 + 200 = 1200$ grams.
- Calculate the total mass of the apples
Subtract the mass of the empty bag from the total mass: $1200 - 360 = 840$ grams.
- Find the mass of each apple
Divide the total mass of the apples by the number of apples: $840 / 5 = 168$ grams.
The mass of each apple is $168$ grams.
More Information
The mass of each apple is 168 grams, approximately 6 ounces.
Tips
A common mistake is not converting kilograms to grams, or making arithmetic errors. For example, some students forget to convert 1 kilogram to 1000 grams before adding it to the existing 200 grams, leading to an incorrect total mass. It's crucial to perform each step carefully and double-check the calculations to avoid these errors.
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