A container contains some chikoos, pomegranates and lemons. 0.2 of the chikoos is equal to 80% of the pomegranates. The number of lemons is ³₄ of the total number of pomegranates and chikoos. If there are 121 more lemons than pomegranates, how many fruits are there in the container altogether?

Chikoos	Pomegranates	Lemons
4x4	1x4
4x5		3x5
16 u	4 u	15 u

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.2 of the chikoos is equal to 80% of the pomegranates. Make the numerators the same.  LCM of 1 and 4 is 4.

1x45x4 of the chikoos = 4x15x1 of the pomegranates
420 of the chikoos = 45 of the pomegranates 

Chikoos : Pomegranates
20 : 5 _(÷5)
4 : 1

The total number of chikoos and pomegranates is repeated.  Make the total number of chikoos and pomegranates the same.  LCM of 5 and 4 is 20.

Number of more lemons than pomegranates
= 15 u - 4 u
= 11 u

11 u = 121

1 u = 121 ÷ 11 = 11

Number of the fruits in the container altogether
= 16 u + 4 u + 15 u
= 35 u
= 35 x 11
= 385

Answer(s): 385