A box contains some pears, pomegranates and starfruits. 0.2 of the pears is equal to 30% of the pomegranates. The number of starfruits is ²₃ of the total number of pomegranates and pears. If there are 28 less pomegranates than starfruits, how many fruits are there in the box altogether?

Pears	Pomegranates	Starfruits
3x3	2x3
3x5		2x5
9 u	6 u	10 u

0.2 = ²₁₀= ¹₅
30% = ³⁰₁₀₀ = ³₁₀

0.2 of the pears is equal to 30% of the pomegranates. Make the numerators the same.  LCM of 1 and 3 is 3.

1x35x3 of the pears = 3x110x1 of the pomegranates
315 of the pears = 310 of the pomegranates 

Pears : Pomegranates
15 : 10 _(÷5)
3 : 2

The total number of pears and pomegranates is repeated.  Make the total number of pears and pomegranates the same.  LCM of 5 and 3 is 15.

Number of less pomegranates than starfruits
= 10 u - 6 u
= 4 u

4 u = 28

1 u = 28 ÷ 4 = 7

Number of the fruits in the box altogether
= 9 u + 6 u + 10 u
= 25 u
= 25 x 7
= 175

Answer(s): 175