A box contains some chikoos, kiwis and mangosteens. 0.4 of the chikoos is equal to 70% of the kiwis. The number of mangosteens is ³₄ of the total number of kiwis and chikoos. If there are 170 more mangosteens than kiwis, how many fruits are there in the box altogether?

Chikoos	Kiwis	Mangosteens
7x4	4x4
4x11		3x11
28 u	16 u	33 u

0.4 = ⁴₁₀= ²₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.4 of the chikoos is equal to 70% of the kiwis. Make the numerators the same.  LCM of 2 and 7 is 14.

2x75x7 of the chikoos = 7x210x2 of the kiwis
1435 of the chikoos = 1420 of the kiwis 

Chikoos : Kiwis
35 : 20 _(÷5)
7 : 4

The total number of chikoos and kiwis is repeated.  Make the total number of chikoos and kiwis the same.  LCM of 11 and 4 is 44.

Number of more mangosteens than kiwis
= 33 u - 16 u
= 17 u

17 u = 170

1 u = 170 ÷ 17 = 10

Number of the fruits in the box altogether
= 28 u + 16 u + 33 u
= 77 u
= 77 x 10
= 770

Answer(s): 770