A box contains some oranges, passion fruits and mangosteens. 0.2 of the oranges is equal to 70% of the passion fruits. The number of mangosteens is ³₇ of the total number of passion fruits and oranges. If there are 39 less passion fruits than mangosteens, how many fruits are there in the box altogether?

Oranges	Passion Fruits	Mangosteens
7x7	2x7
7x9		3x9
49 u	14 u	27 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.2 of the oranges is equal to 70% of the passion fruits. Make the numerators the same.  LCM of 1 and 7 is 7.

1x75x7 of the oranges = 7x110x1 of the passion fruits
735 of the oranges = 710 of the passion fruits 

Oranges : Passion Fruits
35 : 10 _(÷5)
7 : 2

The total number of oranges and passion fruits is repeated.  Make the total number of oranges and passion fruits the same.  LCM of 9 and 7 is 63.

Number of less passion fruits than mangosteens
= 27 u - 14 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Number of the fruits in the box altogether
= 49 u + 14 u + 27 u
= 90 u
= 90 x 3
= 270

Answer(s): 270