Question

A gardener grows apple pears and plums. Half of the cultivation consists of apples, One third of pears and the rest plums. Unfortunately two third of the plum population is affected by plague.
What proportion of entire orchard was plague unaffected

Answer 1

Answer:

1/9th part

Step-by-step explanation:

In the garden half of cultivation consists apples (1/2)

One third pears (1/3)

Plums will be equal to 1-(apples+pears)

1-(1/2+1/3)

1-(3/6+2/6)

1-(5/6)

6/6-5/6 = 1/6

1/6 is plums

2/3rd of the 1/6th part is affected,

So

2/3×1/6 = 1/9

1/9th of the orchard is affected