A container contains some lemons, pomegranates and apples. 0.2 of the lemons is equal to 80% of the pomegranates. The number of apples is ¹₃ of the total number of pomegranates and lemons. If there are 8 less pomegranates than apples, how many fruits are there in the container altogether?

Lemons	Pomegranates	Apples
4x3	1x3
3x5		1x5
12 u	3 u	5 u

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

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

1x45x4 of the lemons = 4x15x1 of the pomegranates
420 of the lemons = 45 of the pomegranates 

Lemons : Pomegranates
20 : 5 _(÷5)
4 : 1

The total number of lemons and pomegranates is repeated.  Make the total number of lemons and pomegranates the same.  LCM of 5 and 3 is 15.

Number of less pomegranates than apples
= 5 u - 3 u
= 2 u

2 u = 8

1 u = 8 ÷ 2 = 4

Number of the fruits in the container altogether
= 12 u + 3 u + 5 u
= 20 u
= 20 x 4
= 80

Answer(s): 80