A box contains some kiwis, starfruits and pomegranates. 0.2 of the kiwis is equal to 80% of the starfruits. The number of pomegranates is ¹₂ of the total number of starfruits and kiwis. If there are 6 more pomegranates than starfruits, how many fruits are there in the box altogether?

Kiwis	Starfruits	Pomegranates
4x2	1x2
2x5		1x5
8 u	2 u	5 u

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.2 of the kiwis is equal to 80% of the starfruits. Make the numerators the same.  LCM of 1 and 4 is 4.

1x45x4 of the kiwis = 4x15x1 of the starfruits
420 of the kiwis = 45 of the starfruits 

Kiwis : Starfruits
20 : 5 _(÷5)
4 : 1

The total number of kiwis and starfruits is repeated.  Make the total number of kiwis and starfruits the same.  LCM of 5 and 2 is 10.

Number of more pomegranates than starfruits
= 5 u - 2 u
= 3 u

3 u = 6

1 u = 6 ÷ 3 = 2

Number of the fruits in the box altogether
= 8 u + 2 u + 5 u
= 15 u
= 15 x 2
= 30

Answer(s): 30