From the fridge, Mr Rafie took out 1/2 of his oranges and 1/3 of his apples. He then had a total of 360 oranges and apples in the fridge. Of the fruits he had taken out, he had 30 more oranges than apples left after selling 150 oranges and 60 apples. How many oranges did Mr Rafie have at first?

Answer 1

number of apples --- x
number of oranges --- 360-x

took out:
apples = x/3
oranges = (360-x)/2 = 180 - x/2

after selling 150 oranges, he had left (30 - x/2)
after selling 60 appes, he had left (x/3 - 60)
He now has 30 more apples than oranges:
(x/3 - 60) - (30 - x/2) = 30
x/3 + x/2 - 90 = 30
5/6 x = 120
x = 144

so at the start he had 144 apples and 360-144 or 216 oranges

check my arithmetic