A box contains some pomegranates, passion fruits and oranges. 0.2 of the pomegranates is equal to 80% of the passion fruits. The number of oranges is ⁵₆ of the total number of passion fruits and pomegranates. If there are 95 less passion fruits than oranges, how many fruits are there in the box altogether?

Pomegranates	Passion Fruits	Oranges
4x6	1x6
6x5		5x5
24 u	6 u	25 u

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

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

1x45x4 of the pomegranates = 4x15x1 of the passion fruits
420 of the pomegranates = 45 of the passion fruits 

Pomegranates : Passion Fruits
20 : 5 _(÷5)
4 : 1

The total number of pomegranates and passion fruits is repeated.  Make the total number of pomegranates and passion fruits the same.  LCM of 5 and 6 is 30.

Number of less passion fruits than oranges
= 25 u - 6 u
= 19 u

19 u = 95

1 u = 95 ÷ 19 = 5

Number of the fruits in the box altogether
= 24 u + 6 u + 25 u
= 55 u
= 55 x 5
= 275

Answer(s): 275