Question
The ratio of apples to oranges in a basket is 2:1. The
average weight of oranges is (w − 3) grams and the average weight of all fruits is (w + 3) grams. Find the average weight of apples.Solution
Let apples and oranges be '2a' and 'a', respectively.
Total weight of fruits = 3a × (w + 3) = 3aw + 9a
Total weight of oranges = a × (w − 3) = aw − 3a
So, total weight of apples = (3aw + 9a) − (aw − 3a) = 2aw + 12a
Therefore, average weight of apples = (2aw + 12a) / 2a = (w + 6)
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