Fraction P5 A005

A greengrocer had 75 more apples than oranges at first. After selling 4/5 of the apples and 3/4 of the oranges, he had 285 fruits left.
a) How many apples did he sell?
b) What fraction of the fruits sold were oranges?

5 A – 4 O -- > 75

1 A + 1 O -- >  285

4 A + 4 O -- > 4 x 285 = 1140

9 A -- > 75 + 1140 = 1215

1 A -- > 1215 ÷ 9 = 135

4 A -- > 4 x 135 = 540 apples

a) He sold 540 apples.

1 O -- > 285 – 135 = 150

3 O -- > 3 x 150 = 450

4 A + 3 O -- > 540 + 450 = 990

450/990 = 5/11

b) 5/11 of the fruits sold were oranges.