A box contains some mangoes, starfruits and pomegranates. 0.2 of the mangoes is equal to 70% of the starfruits. The number of pomegranates is ²₅ of the total number of starfruits and mangoes. If there are 32 less starfruits than pomegranates, how many fruits are there in the box altogether?

Mangoes	Starfruits	Pomegranates
7x5	2x5
5x9		2x9
35 u	10 u	18 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

1x75x7 of the mangoes = 7x110x1 of the starfruits
735 of the mangoes = 710 of the starfruits 

Mangoes : Starfruits
35 : 10 _(÷5)
7 : 2

The total number of mangoes and starfruits is repeated.  Make the total number of mangoes and starfruits the same.  LCM of 9 and 5 is 45.

Number of less starfruits than pomegranates
= 18 u - 10 u
= 8 u

8 u = 32

1 u = 32 ÷ 8 = 4

Number of the fruits in the box altogether
= 35 u + 10 u + 18 u
= 63 u
= 63 x 4
= 252

Answer(s): 252