A container contains some starfruits, passion fruits and lemons. 0.4 of the starfruits is equal to 70% of the passion fruits. The number of lemons is ²₃ of the total number of passion fruits and starfruits. If there are 90 more lemons than passion fruits, how many fruits are there in the container altogether?

Starfruits	Passion Fruits	Lemons
7x3	4x3
3x11		2x11
21 u	12 u	22 u

0.4 = ⁴₁₀= ²₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

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

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

The total number of starfruits and passion fruits is repeated.  Make the total number of starfruits and passion fruits the same.  LCM of 11 and 3 is 33.

Number of more lemons than passion fruits
= 22 u - 12 u
= 10 u

10 u = 90

1 u = 90 ÷ 10 = 9

Number of the fruits in the container altogether
= 21 u + 12 u + 22 u
= 55 u
= 55 x 9
= 495

Answer(s): 495