A box contains some lemons, apples and oranges. 0.2 of the lemons is equal to 70% of the apples. The number of oranges is ²₃ of the total number of apples and lemons. If there are 32 more oranges than apples, how many fruits are there in the box altogether?

Lemons	Apples	Oranges
7x1	2x1
3x3		2x3
7 u	2 u	6 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.2 of the lemons is equal to 70% of the apples. Make the numerators the same.  LCM of 1 and 7 is 7.

1x75x7 of the lemons = 7x110x1 of the apples
735 of the lemons = 710 of the apples 

Lemons : Apples
35 : 10 _(÷5)
7 : 2

The total number of lemons and apples is repeated.  Make the total number of lemons and apples the same.  LCM of 9 and 3 is 9.

Number of more oranges than apples
= 6 u - 2 u
= 4 u

4 u = 32

1 u = 32 ÷ 4 = 8

Number of the fruits in the box altogether
= 7 u + 2 u + 6 u
= 15 u
= 15 x 8
= 120

Answer(s): 120