A container contains some pomegranates, oranges and passion fruits. 0.8 of the pomegranates is equal to 60% of the oranges. The number of passion fruits is ⁵₆ of the total number of oranges and pomegranates. If there are 33 less oranges than passion fruits, how many fruits are there in the container altogether?

Pomegranates	Oranges	Passion Fruits
3x6	4x6
6x7		5x7
18 u	24 u	35 u

0.8 = ⁸₁₀= ⁴₅
60% = ⁶⁰₁₀₀ = ³₅

0.8 of the pomegranates is equal to 60% of the oranges. Make the numerators the same.  LCM of 4 and 3 is 12.

4x35x3 of the pomegranates = 3x45x4 of the oranges
1215 of the pomegranates = 1220 of the oranges 

Pomegranates : Oranges
15 : 20 _(÷5)
3 : 4

The total number of pomegranates and oranges is repeated.  Make the total number of pomegranates and oranges the same.  LCM of 7 and 6 is 42.

Number of less oranges than passion fruits
= 35 u - 24 u
= 11 u

11 u = 33

1 u = 33 ÷ 11 = 3

Number of the fruits in the container altogether
= 18 u + 24 u + 35 u
= 77 u
= 77 x 3
= 231

Answer(s): 231