A box contains some pears, oranges and passion fruits. 0.2 of the pears is equal to 60% of the oranges. The number of passion fruits is ²₃ of the total number of oranges and pears. If there are 60 more passion fruits than oranges, how many fruits are there in the box altogether?

Pears	Oranges	Passion Fruits
3x3	1x3
3x4		2x4
9 u	3 u	8 u

0.2 = ²₁₀= ¹₅
60% = ⁶⁰₁₀₀ = ³₅

0.2 of the pears is equal to 60% of the oranges. Make the numerators the same.  LCM of 1 and 3 is 3.

1x35x3 of the pears = 3x15x1 of the oranges
315 of the pears = 35 of the oranges 

Pears : Oranges
15 : 5 _(÷5)
3 : 1

The total number of pears and oranges is repeated.  Make the total number of pears and oranges the same.  LCM of 4 and 3 is 12.

Number of more passion fruits than oranges
= 8 u - 3 u
= 5 u

5 u = 60

1 u = 60 ÷ 5 = 12

Number of the fruits in the box altogether
= 9 u + 3 u + 8 u
= 20 u
= 20 x 12
= 240

Answer(s): 240