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A basket with 12 apples has a mass of 3105 grams. The same basket with 7 apples has a mass of 1980 grams. Each Apple has the same mass. What is the mass of the basket?

Answer :

168.75 is the mass of the basket
We can find the mass of 5 apples by subtracting 3105 by 1980
3105-1980 = 1125g
5 apples = 1125g
1 apple = 1125g/5
1 apple = 225g

Now that we know the individual mass of each apple, we can now calculate the mass of the basket.

12 apples + 1 basket = 3105g
12(225g) + 1 basket = 3105g
2700g + 1 basket = 3105g
1 basket = 3105g - 2700g
1 basket = 405g
The mass of the basket is 405g

To check our work we can plug the values back in the equation to see if we get the right answer

12(225) + 405 = 3105
2700 + 405 = 3105
3105 = 3105

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