A box contains some passion fruits, pomegranates and oranges. 0.2 of the passion fruits is equal to 70% of the pomegranates. The number of oranges is ¹₂ of the total number of pomegranates and passion fruits. If there are 15 more oranges than pomegranates, how many fruits are there in the box altogether?

Passion Fruits	Pomegranates	Oranges
7x2	2x2
2x9		1x9
14 u	4 u	9 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

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

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

The total number of passion fruits and pomegranates is repeated.  Make the total number of passion fruits and pomegranates the same.  LCM of 9 and 2 is 18.

Number of more oranges than pomegranates
= 9 u - 4 u
= 5 u

5 u = 15

1 u = 15 ÷ 5 = 3

Number of the fruits in the box altogether
= 14 u + 4 u + 9 u
= 27 u
= 27 x 3
= 81

Answer(s): 81