A container contains some chikoos, passion fruits and persimmons. 0.4 of the chikoos is equal to 30% of the passion fruits. The number of persimmons is ⁵₆ of the total number of passion fruits and chikoos. If there are 132 more persimmons than passion fruits, how many fruits are there in the container altogether?

Chikoos	Passion Fruits	Persimmons
3x6	4x6
6x7		5x7
18 u	24 u	35 u

0.4 = ⁴₁₀= ²₅
30% = ³⁰₁₀₀ = ³₁₀

0.4 of the chikoos is equal to 30% of the passion fruits. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the chikoos = 3x210x2 of the passion fruits
615 of the chikoos = 620 of the passion fruits 

Chikoos : Passion Fruits
15 : 20 _(÷5)
3 : 4

The total number of chikoos and passion fruits is repeated.  Make the total number of chikoos and passion fruits the same.  LCM of 7 and 6 is 42.

Number of more persimmons than passion fruits
= 35 u - 24 u
= 11 u

11 u = 132

1 u = 132 ÷ 11 = 12

Number of the fruits in the container altogether
= 18 u + 24 u + 35 u
= 77 u
= 77 x 12
= 924

Answer(s): 924