A container contains some passion fruits, starfruits and kiwis. 0.4 of the passion fruits is equal to 70% of the starfruits. The number of kiwis is ⁴₇ of the total number of starfruits and passion fruits. If there are 64 more kiwis than starfruits, how many fruits are there in the container altogether?

Passion Fruits	Starfruits	Kiwis
7x7	4x7
7x11		4x11
49 u	28 u	44 u

0.4 = ⁴₁₀= ²₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.4 of the passion fruits is equal to 70% of the starfruits. Make the numerators the same.  LCM of 2 and 7 is 14.

2x75x7 of the passion fruits = 7x210x2 of the starfruits
1435 of the passion fruits = 1420 of the starfruits 

Passion Fruits : Starfruits
35 : 20 _(÷5)
7 : 4

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 7 is 77.

Number of more kiwis than starfruits
= 44 u - 28 u
= 16 u

16 u = 64

1 u = 64 ÷ 16 = 4

Number of the fruits in the container altogether
= 49 u + 28 u + 44 u
= 121 u
= 121 x 4
= 484

Answer(s): 484