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
A. 60 B. 54 C. 48 D. 42
Correct Answer: B
Explanation
Let x = the number of oranges The 1st received 1/3 of x = 1/3x ∴Remainder = x - 1/3x = 2x/3 The 2nd received 2/3 of 2x/3 = 2/3 * 2x/3 = 4x/3 The 3rd received 12 oranges ∴1/3x + 4x/9 + 12 = x (3x + 4x + 108)/9 = x 3x + 4x + 108 = 9x 7x + 108 = 9x 9x - 7x = 108 2x = 108 x = 54 oranges
