A box contains some passion fruits, pears and oranges. 0.2 of the passion fruits is equal to 80% of the pears. The number of oranges is ⁵₆ of the total number of pears and passion fruits. If there are 228 less pears than oranges, how many fruits are there in the box altogether?

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

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

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

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

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

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

Number of less pears than oranges
= 25 u - 6 u
= 19 u

19 u = 228

1 u = 228 ÷ 19 = 12

Number of the fruits in the box altogether
= 24 u + 6 u + 25 u
= 55 u
= 55 x 12
= 660

Answer(s): 660