A box contains some passion fruits, starfruits and mangosteens. 0.8 of the passion fruits is equal to 70% of the starfruits. The number of mangosteens is ²₃ of the total number of starfruits and passion fruits. If there are 6 more mangosteens than starfruits, how many fruits are there in the box altogether?

Passion Fruits	Starfruits	Mangosteens
7x1	8x1
3x5		2x5
7 u	8 u	10 u

0.8 = ⁸₁₀= ⁴₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.8 of the passion fruits is equal to 70% of the starfruits. Make the numerators the same.  LCM of 4 and 7 is 28.

4x75x7 of the passion fruits = 7x410x4 of the starfruits
2835 of the passion fruits = 2840 of the starfruits 

Passion Fruits : Starfruits
35 : 40 _(÷5)
7 : 8

The total number of passion fruits and starfruits is repeated.  Make the total number of passion fruits and starfruits the same.  LCM of 15 and 3 is 15.

Number of more mangosteens than starfruits
= 10 u - 8 u
= 2 u

2 u = 6

1 u = 6 ÷ 2 = 3

Number of the fruits in the box altogether
= 7 u + 8 u + 10 u
= 25 u
= 25 x 3
= 75

Answer(s): 75