A box contains some oranges, lemons and starfruits. 0.2 of the oranges is equal to 80% of the lemons. The number of starfruits is ¹₃ of the total number of lemons and oranges. If there are 6 less lemons than starfruits, how many fruits are there in the box altogether?

Oranges	Lemons	Starfruits
4x3	1x3
3x5		1x5
12 u	3 u	5 u

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.2 of the oranges is equal to 80% of the lemons. Make the numerators the same.  LCM of 1 and 4 is 4.

1x45x4 of the oranges = 4x15x1 of the lemons
420 of the oranges = 45 of the lemons 

Oranges : Lemons
20 : 5 _(÷5)
4 : 1

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

Number of less lemons than starfruits
= 5 u - 3 u
= 2 u

2 u = 6

1 u = 6 ÷ 2 = 3

Number of the fruits in the box altogether
= 12 u + 3 u + 5 u
= 20 u
= 20 x 3
= 60

Answer(s): 60