A container contains some chikoos, mangosteens and passion fruits. 0.6 of the chikoos is equal to 80% of the mangosteens. The number of passion fruits is ³₄ of the total number of mangosteens and chikoos. If there are 63 less mangosteens than passion fruits, how many fruits are there in the container altogether?

Chikoos	Mangosteens	Passion Fruits
4x4	3x4
4x7		3x7
16 u	12 u	21 u

0.6 = ⁶₁₀= ³₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.6 of the chikoos is equal to 80% of the mangosteens. Make the numerators the same.  LCM of 3 and 4 is 12.

3x45x4 of the chikoos = 4x35x3 of the mangosteens
1220 of the chikoos = 1215 of the mangosteens 

Chikoos : Mangosteens
20 : 15 _(÷5)
4 : 3

The total number of chikoos and mangosteens is repeated.  Make the total number of chikoos and mangosteens the same.  LCM of 7 and 4 is 28.

Number of less mangosteens than passion fruits
= 21 u - 12 u
= 9 u

9 u = 63

1 u = 63 ÷ 9 = 7

Number of the fruits in the container altogether
= 16 u + 12 u + 21 u
= 49 u
= 49 x 7
= 343

Answer(s): 343