SOLUTION: A basket with 12 apples has a mass of 3,105 grams. The same basket with 7 apples has a mass of 1,980 grams. Each Apple has the same mass. What is the mass of the basket?

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Question 1056504: A basket with 12 apples has a mass of 3,105 grams. The same basket with 7 apples has a mass of 1,980 grams. Each Apple has the same mass. What is the mass of the basket?
Answer by ikleyn(52788) About Me  (Show Source):
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A basket with 12 apples has a mass of 3,105 grams. The same basket with 7 apples has a mass of 1,980 grams.
Each Apple has the same mass. What is the mass of the basket?
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B + 12A = 3105,   (1)
B +  7A = 1980.   (2)

Distract equation (2) from equation (1) (both sides). You will get

12A - 7A = 3105 - 1980,

5A = 1125   --->   A = 1125%2F5 = 225 gram is the mass of one apple.

Then from (2)  B = 1980 - 7*225 = 405 gram.

Answer.  405 gram.