A container contains some pomegranates, oranges and chikoos. 0.6 of the pomegranates is equal to 70% of the oranges. The number of chikoos is ⁵₆ of the total number of oranges and pomegranates. If there are 174 less oranges than chikoos, how many fruits are there in the container altogether?

Pomegranates	Oranges	Chikoos
7x6	6x6
6x13		5x13
42 u	36 u	65 u

0.6 = ⁶₁₀= ³₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.6 of the pomegranates is equal to 70% of the oranges. Make the numerators the same.  LCM of 3 and 7 is 21.

3x75x7 of the pomegranates = 7x310x3 of the oranges
2135 of the pomegranates = 2130 of the oranges 

Pomegranates : Oranges
35 : 30 _(÷5)
7 : 6

The total number of pomegranates and oranges is repeated.  Make the total number of pomegranates and oranges the same.  LCM of 13 and 6 is 78.

Number of less oranges than chikoos
= 65 u - 36 u
= 29 u

29 u = 174

1 u = 174 ÷ 29 = 6

Number of the fruits in the container altogether
= 42 u + 36 u + 65 u
= 143 u
= 143 x 6
= 858

Answer(s): 858