The ratio of the number of apples to the number of oranges in a basket is 3:2. There were 40 more apples than oranges. After some oranges were removed from the basket, the number of apples become twice of the number of oranges. How many oranges are there in the end?
Apples==A, Oranges==O
[A + 40] / A ==3 / 2
[A + 40] / [A - O]==2, solve for A, O
A==80 + 40 ==120 - original number of apples.
O ==80 - original number of oranges.
O==20 - oranges were removed.
80 - 20 == 60 oranges left in the end.
+237 Given, apple : orange
= 3:2
Let total be '3x' * '2x'.
apple = 3x
orange = 2x.
Now it 40 more apples
than orange,
3x - 2x = 40
x = 40
Apple = 3x = 120
Orange = 2x = 80
Now it 'y' oranges were
removed from basket.
(80 - y) * 2 = 120
=> 160 - 2y = 120
=> 2y = 40
=> y = 20
Left orange = 80 - 20
= 60 oranges
