A box contains some passion fruits, mangoes and oranges. 0.2 of the passion fruits is equal to 70% of the mangoes. The number of oranges is ⁵₆ of the total number of mangoes and passion fruits. If there are 99 less mangoes than oranges, how many fruits are there in the box altogether?

Passion Fruits	Mangoes	Oranges
7x2	2x2
6x3		5x3
14 u	4 u	15 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

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

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

The total number of passion fruits and mangoes is repeated.  Make the total number of passion fruits and mangoes the same.  LCM of 9 and 6 is 18.

Number of less mangoes than oranges
= 15 u - 4 u
= 11 u

11 u = 99

1 u = 99 ÷ 11 = 9

Number of the fruits in the box altogether
= 14 u + 4 u + 15 u
= 33 u
= 33 x 9
= 297

Answer(s): 297