A container contains some oranges, starfruits and persimmons. 0.4 of the oranges is equal to 60% of the starfruits. The number of persimmons is ²₃ of the total number of starfruits and oranges. If there are 48 less starfruits than persimmons, how many fruits are there in the container altogether?

Oranges	Starfruits	Persimmons
3x3	2x3
3x5		2x5
9 u	6 u	10 u

0.4 = ⁴₁₀= ²₅
60% = ⁶⁰₁₀₀ = ³₅

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

2x35x3 of the oranges = 3x25x2 of the starfruits
615 of the oranges = 610 of the starfruits 

Oranges : Starfruits
15 : 10 _(÷5)
3 : 2

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

Number of less starfruits than persimmons
= 10 u - 6 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Number of the fruits in the container altogether
= 9 u + 6 u + 10 u
= 25 u
= 25 x 12
= 300

Answer(s): 300