A container contains some lemons, passion fruits and oranges. 0.4 of the lemons is equal to 60% of the passion fruits. The number of oranges is ²₃ of the total number of passion fruits and lemons. If there are 40 less passion fruits than oranges, how many fruits are there in the container altogether?

Lemons	Passion Fruits	Oranges
3x3	2x3
3x5		2x5
9 u	6 u	10 u

0.4 = ⁴₁₀= ²₅
60% = ⁶⁰₁₀₀ = ³₅

0.4 of the lemons is equal to 60% of the passion fruits. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the lemons = 3x25x2 of the passion fruits
615 of the lemons = 610 of the passion fruits 

Lemons : Passion Fruits
15 : 10 _(÷5)
3 : 2

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

Number of less passion fruits than oranges
= 10 u - 6 u
= 4 u

4 u = 40

1 u = 40 ÷ 4 = 10

Number of the fruits in the container altogether
= 9 u + 6 u + 10 u
= 25 u
= 25 x 10
= 250

Answer(s): 250