A fruit stall owner had some apples and oranges. He sold an equal number of apples and oranges. He had 1/3 of the apples and 5/9 of the oranges left. What fraction of the fruits were sold?
(1) 1/2
(2) 8/9
(3) 7/13
(4) 8/15
He sold (2/3) of the apples and (4/9) of the oranges
So
(2/3) A = (4/9)O
A = (3/2)(4/9)0
A = (2/3) O
So total avaiable = A + O = (2/3)O + O = (5/3)O
So....fraction sold =
(2/3)A + (4/9)O (2/3)(2/3)O + ( 4/9)O (4/9 + 4/9) O 8/9
_____________ = ___________________ = ____________ = _______ =
(5/3) O (5/3) O (5/3) O 5/3
(8/9) * ( 3/5) = 24 / 45 = 8 / 15