A box contains some apples, pomegranates and chikoos. 0.2 of the apples is equal to 70% of the pomegranates. The number of chikoos is ²₅ of the total number of pomegranates and apples. If there are 24 more chikoos than pomegranates, how many fruits are there in the box altogether?

Apples	Pomegranates	Chikoos
7x5	2x5
5x9		2x9
35 u	10 u	18 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.2 of the apples is equal to 70% of the pomegranates. Make the numerators the same.  LCM of 1 and 7 is 7.

1x75x7 of the apples = 7x110x1 of the pomegranates
735 of the apples = 710 of the pomegranates 

Apples : Pomegranates
35 : 10 _(÷5)
7 : 2

The total number of apples and pomegranates is repeated.  Make the total number of apples and pomegranates the same.  LCM of 9 and 5 is 45.

Number of more chikoos than pomegranates
= 18 u - 10 u
= 8 u

8 u = 24

1 u = 24 ÷ 8 = 3

Number of the fruits in the box altogether
= 35 u + 10 u + 18 u
= 63 u
= 63 x 3
= 189

Answer(s): 189