A container contains some passion fruits, chikoos and mangosteens. 0.6 of the passion fruits is equal to 40% of the chikoos. The number of mangosteens is ⁵₇ of the total number of chikoos and passion fruits. If there are 12 less chikoos than mangosteens, how many fruits are there in the container altogether?

Passion Fruits	Chikoos	Mangosteens
2x7	3x7
7x5		5x5
14 u	21 u	25 u

0.6 = ⁶₁₀= ³₅
40% = ⁴⁰₁₀₀ = ²₅

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

3x25x2 of the passion fruits = 2x35x3 of the chikoos
610 of the passion fruits = 615 of the chikoos 

Passion Fruits : Chikoos
10 : 15 _(÷5)
2 : 3

The total number of passion fruits and chikoos is repeated.  Make the total number of passion fruits and chikoos the same.  LCM of 5 and 7 is 35.

Number of less chikoos than mangosteens
= 25 u - 21 u
= 4 u

4 u = 12

1 u = 12 ÷ 4 = 3

Number of the fruits in the container altogether
= 14 u + 21 u + 25 u
= 60 u
= 60 x 3
= 180

Answer(s): 180