A container contains some mangoes, pomegranates and apples. 0.2 of the mangoes is equal to 80% of the pomegranates. The number of apples is ³₈ of the total number of pomegranates and mangoes. If there are 84 more apples than pomegranates, how many fruits are there in the container altogether?

Mangoes	Pomegranates	Apples
4x8	1x8
8x5		3x5
32 u	8 u	15 u

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

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

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

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

The total number of mangoes and pomegranates is repeated.  Make the total number of mangoes and pomegranates the same.  LCM of 5 and 8 is 40.

Number of more apples than pomegranates
= 15 u - 8 u
= 7 u

7 u = 84

1 u = 84 ÷ 7 = 12

Number of the fruits in the container altogether
= 32 u + 8 u + 15 u
= 55 u
= 55 x 12
= 660

Answer(s): 660