Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share
The correct answer is B. 54
Let's assume that the boys shared a total of x oranges.
The first boy received 1/3 of the oranges, which means that he received (1/3)x oranges.
The remaining oranges are x - (1/3)x = (2/3)x. The second boy received 2/3 of the remaining oranges, which is (2/3)(2/3)x = (4/9)x.
Therefore, the third boy received the remaining oranges, which is (2/3)x - (4/9)x = (6/9)x - (4/9)x = (2/9)x.
Since the third boy received 12 oranges, we can write the equation (2/9)x = 12.
Solving this equation for x, we get x = 54. So, the boys shared a total of 54 oranges.
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