A box contains some chikoos, apples and oranges. 0.6 of the chikoos is equal to 40% of the apples. The number of oranges is ³₄ of the total number of apples and chikoos. If there are 24 less apples than oranges, how many fruits are there in the box altogether?

Chikoos	Apples	Oranges
2x4	3x4
4x5		3x5
8 u	12 u	15 u

0.6 = ⁶₁₀= ³₅
40% = ⁴⁰₁₀₀ = ²₅

0.6 of the chikoos is equal to 40% of the apples. Make the numerators the same.  LCM of 3 and 2 is 6.

3x25x2 of the chikoos = 2x35x3 of the apples
610 of the chikoos = 615 of the apples 

Chikoos : Apples
10 : 15 _(÷5)
2 : 3

The total number of chikoos and apples is repeated.  Make the total number of chikoos and apples the same.  LCM of 5 and 4 is 20.

Number of less apples than oranges
= 15 u - 12 u
= 3 u

3 u = 24

1 u = 24 ÷ 3 = 8

Number of the fruits in the box altogether
= 8 u + 12 u + 15 u
= 35 u
= 35 x 8
= 280

Answer(s): 280