A container contains some apples, pears and pomegranates. 0.4 of the apples is equal to 60% of the pears. The number of pomegranates is ⁵₈ of the total number of pears and apples. If there are 36 more pomegranates than pears, how many fruits are there in the container altogether?

Apples	Pears	Pomegranates
3x8	2x8
8x5		5x5
24 u	16 u	25 u

0.4 = ⁴₁₀= ²₅
60% = ⁶⁰₁₀₀ = ³₅

0.4 of the apples is equal to 60% of the pears. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the apples = 3x25x2 of the pears
615 of the apples = 610 of the pears 

Apples : Pears
15 : 10 _(÷5)
3 : 2

The total number of apples and pears is repeated.  Make the total number of apples and pears the same.  LCM of 5 and 8 is 40.

Number of more pomegranates than pears
= 25 u - 16 u
= 9 u

9 u = 36

1 u = 36 ÷ 9 = 4

Number of the fruits in the container altogether
= 24 u + 16 u + 25 u
= 65 u
= 65 x 4
= 260

Answer(s): 260