A box contains some oranges, apples and pears. 0.2 of the oranges is equal to 70% of the apples. The number of pears is ³₅ of the total number of apples and oranges. If there are 102 more pears than apples, how many fruits are there in the box altogether?

Oranges	Apples	Pears
7x5	2x5
5x9		3x9
35 u	10 u	27 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

1x75x7 of the oranges = 7x110x1 of the apples
735 of the oranges = 710 of the apples 

Oranges : Apples
35 : 10 _(÷5)
7 : 2

The total number of oranges and apples is repeated.  Make the total number of oranges and apples the same.  LCM of 9 and 5 is 45.

Number of more pears than apples
= 27 u - 10 u
= 17 u

17 u = 102

1 u = 102 ÷ 17 = 6

Number of the fruits in the box altogether
= 35 u + 10 u + 27 u
= 72 u
= 72 x 6
= 432

Answer(s): 432