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?
(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.
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.
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.
Bestie
That don’t help
To find the mass of the basket, we need to first determine the mass of a single apple.
The difference in mass between the two baskets is 3105 grams - 1980 grams = 1125 grams.
The difference in the number of apples between the two baskets is 12 apples - 7 apples = 5 apples.
To find the mass of a single apple, we divide the difference in mass (1125 grams) by the difference in the number of apples (5 apples):
1125 grams / 5 apples = 225 grams per apple.
Now that we know the mass of a single apple, we can calculate the mass of the basket by subtracting the mass of 7 apples from the mass of the second basket:
1980 grams - (7 apples × 225 grams per apple) = 1980 grams - 1575 grams = 405 grams.
Therefore, the mass of the basket is 405 grams.