A container contains some lemons, apples and pomegranates. 0.6 of the lemons is equal to 70% of the apples. The number of pomegranates is ²₃ of the total number of apples and lemons. If there are 64 more pomegranates than apples, how many fruits are there in the container altogether?

Lemons	Apples	Pomegranates
7x3	6x3
3x13		2x13
21 u	18 u	26 u

0.6 = ⁶₁₀= ³₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.6 of the lemons is equal to 70% of the apples. Make the numerators the same.  LCM of 3 and 7 is 21.

3x75x7 of the lemons = 7x310x3 of the apples
2135 of the lemons = 2130 of the apples 

Lemons : Apples
35 : 30 _(÷5)
7 : 6

The total number of lemons and apples is repeated.  Make the total number of lemons and apples the same.  LCM of 13 and 3 is 39.

Number of more pomegranates than apples
= 26 u - 18 u
= 8 u

8 u = 64

1 u = 64 ÷ 8 = 8

Number of the fruits in the container altogether
= 21 u + 18 u + 26 u
= 65 u
= 65 x 8
= 520

Answer(s): 520