A box contains some passion fruits, starfruits and persimmons. 0.8 of the passion fruits is equal to 30% of the starfruits. The number of persimmons is ⁵₆ of the total number of starfruits and passion fruits. If there are 70 more persimmons than starfruits, how many fruits are there in the box altogether?

Passion Fruits	Starfruits	Persimmons
3x6	8x6
6x11		5x11
18 u	48 u	55 u

0.8 = ⁸₁₀= ⁴₅
30% = ³⁰₁₀₀ = ³₁₀

0.8 of the passion fruits is equal to 30% of the starfruits. Make the numerators the same.  LCM of 4 and 3 is 12.

4x35x3 of the passion fruits = 3x410x4 of the starfruits
1215 of the passion fruits = 1240 of the starfruits 

Passion Fruits : Starfruits
15 : 40 _(÷5)
3 : 8

The total number of passion fruits and starfruits is repeated.  Make the total number of passion fruits and starfruits the same.  LCM of 11 and 6 is 66.

Number of more persimmons than starfruits
= 55 u - 48 u
= 7 u

7 u = 70

1 u = 70 ÷ 7 = 10

Number of the fruits in the box altogether
= 18 u + 48 u + 55 u
= 121 u
= 121 x 10
= 1210

Answer(s): 1210