A box contains some lemons, mangoes and oranges. 0.4 of the lemons is equal to 60% of the mangoes. The number of oranges is ⁵₈ of the total number of mangoes and lemons. If there are 72 less mangoes than oranges, how many fruits are there in the box altogether?

Lemons	Mangoes	Oranges
3x8	2x8
8x5		5x5
24 u	16 u	25 u

0.4 = ⁴₁₀= ²₅
60% = ⁶⁰₁₀₀ = ³₅

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

2x35x3 of the lemons = 3x25x2 of the mangoes
615 of the lemons = 610 of the mangoes 

Lemons : Mangoes
15 : 10 _(÷5)
3 : 2

The total number of lemons and mangoes is repeated.  Make the total number of lemons and mangoes the same.  LCM of 5 and 8 is 40.

Number of less mangoes than oranges
= 25 u - 16 u
= 9 u

9 u = 72

1 u = 72 ÷ 9 = 8

Number of the fruits in the box altogether
= 24 u + 16 u + 25 u
= 65 u
= 65 x 8
= 520

Answer(s): 520