A box contains some mangosteens, chikoos and passion fruits. 0.2 of the mangosteens is equal to 60% of the chikoos. The number of passion fruits is ⁴₅ of the total number of chikoos and mangosteens. If there are 33 less chikoos than passion fruits, how many fruits are there in the box altogether?

Mangosteens	Chikoos	Passion Fruits
3x5	1x5
5x4		4x4
15 u	5 u	16 u

0.2 = ²₁₀= ¹₅
60% = ⁶⁰₁₀₀ = ³₅

0.2 of the mangosteens is equal to 60% of the chikoos. Make the numerators the same.  LCM of 1 and 3 is 3.

1x35x3 of the mangosteens = 3x15x1 of the chikoos
315 of the mangosteens = 35 of the chikoos 

Mangosteens : Chikoos
15 : 5 _(÷5)
3 : 1

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

Number of less chikoos than passion fruits
= 16 u - 5 u
= 11 u

11 u = 33

1 u = 33 ÷ 11 = 3

Number of the fruits in the box altogether
= 15 u + 5 u + 16 u
= 36 u
= 36 x 3
= 108

Answer(s): 108