A container contains some mangosteens, starfruits and passion fruits. 0.2 of the mangosteens is equal to 70% of the starfruits. The number of passion fruits is ¹₂ of the total number of starfruits and mangosteens. If there are 50 more passion fruits than starfruits, how many fruits are there in the container altogether?

Mangosteens	Starfruits	Passion Fruits
7x2	2x2
2x9		1x9
14 u	4 u	9 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.2 of the mangosteens is equal to 70% of the starfruits. Make the numerators the same.  LCM of 1 and 7 is 7.

1x75x7 of the mangosteens = 7x110x1 of the starfruits
735 of the mangosteens = 710 of the starfruits 

Mangosteens : Starfruits
35 : 10 _(÷5)
7 : 2

The total number of mangosteens and starfruits is repeated.  Make the total number of mangosteens and starfruits the same.  LCM of 9 and 2 is 18.

Number of more passion fruits than starfruits
= 9 u - 4 u
= 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Number of the fruits in the container altogether
= 14 u + 4 u + 9 u
= 27 u
= 27 x 10
= 270

Answer(s): 270