(3105-1980)/(12-7) = 225 grams/apple
3105 - (12*225) = 405 grams = Wt. of the basket.
1980 - (7*225) = 405 grams = Wt. of basket.
Note: After removing 7 apples, we took
the remaining wt(1125grams) and divided
by the remaining # of apples(5). That gave us the Wt. per apple.
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?
5 answers
Correction:
After removing 5 apples, we took the
reduction in Wt.(1125grams) and divided
by the # of apples removed(5). That gave us the wt. per apple.
After removing 5 apples, we took the
reduction in Wt.(1125grams) and divided
by the # of apples removed(5). That gave us the wt. per apple.
A different Method:
X Grams per apple.
Y Grams = Wt. of basket.
Eq1: 12x + Y = 3105
Eq2: 7x + Y = 1980
Diff: 5x = 1125
X = 225
In Eq1, replace X with 225:
12*225 + Y = 3105
Y = 3105 - 2700 = 405.
X Grams per apple.
Y Grams = Wt. of basket.
Eq1: 12x + Y = 3105
Eq2: 7x + Y = 1980
Diff: 5x = 1125
X = 225
In Eq1, replace X with 225:
12*225 + Y = 3105
Y = 3105 - 2700 = 405.
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