A box contains some oranges, passion fruits and pomegranates. 0.2 of the oranges is equal to 40% of the passion fruits. The number of pomegranates is ⁴₅ of the total number of passion fruits and oranges. If there are 56 less passion fruits than pomegranates, how many fruits are there in the box altogether?

Oranges	Passion Fruits	Pomegranates
2x5	1x5
5x3		4x3
10 u	5 u	12 u

0.2 = ²₁₀= ¹₅
40% = ⁴⁰₁₀₀ = ²₅

0.2 of the oranges is equal to 40% of the passion fruits. Make the numerators the same.  LCM of 1 and 2 is 2.

1x25x2 of the oranges = 2x15x1 of the passion fruits
210 of the oranges = 25 of the passion fruits 

Oranges : Passion Fruits
10 : 5 _(÷5)
2 : 1

The total number of oranges and passion fruits is repeated.  Make the total number of oranges and passion fruits the same.  LCM of 3 and 5 is 15.

Number of less passion fruits than pomegranates
= 12 u - 5 u
= 7 u

7 u = 56

1 u = 56 ÷ 7 = 8

Number of the fruits in the box altogether
= 10 u + 5 u + 12 u
= 27 u
= 27 x 8
= 216

Answer(s): 216