A box contains some passion fruits, persimmons and starfruits. 0.2 of the passion fruits is equal to 60% of the persimmons. The number of starfruits is ⁴₇ of the total number of persimmons and passion fruits. If there are 27 more starfruits than persimmons, how many fruits are there in the box altogether?

Passion Fruits	Persimmons	Starfruits
3x7	1x7
7x4		4x4
21 u	7 u	16 u

0.2 = ²₁₀= ¹₅
60% = ⁶⁰₁₀₀ = ³₅

0.2 of the passion fruits is equal to 60% of the persimmons. Make the numerators the same.  LCM of 1 and 3 is 3.

1x35x3 of the passion fruits = 3x15x1 of the persimmons
315 of the passion fruits = 35 of the persimmons 

Passion Fruits : Persimmons
15 : 5 _(÷5)
3 : 1

The total number of passion fruits and persimmons is repeated.  Make the total number of passion fruits and persimmons the same.  LCM of 4 and 7 is 28.

Number of more starfruits than persimmons
= 16 u - 7 u
= 9 u

9 u = 27

1 u = 27 ÷ 9 = 3

Number of the fruits in the box altogether
= 21 u + 7 u + 16 u
= 44 u
= 44 x 3
= 132

Answer(s): 132