A container contains some mangosteens, kiwis and chikoos. 0.2 of the mangosteens is equal to 30% of the kiwis. The number of chikoos is ³₄ of the total number of kiwis and mangosteens. If there are 14 more chikoos than kiwis, how many fruits are there in the container altogether?

Mangosteens	Kiwis	Chikoos
3x4	2x4
4x5		3x5
12 u	8 u	15 u

0.2 = ²₁₀= ¹₅
30% = ³⁰₁₀₀ = ³₁₀

0.2 of the mangosteens is equal to 30% of the kiwis. Make the numerators the same.  LCM of 1 and 3 is 3.

1x35x3 of the mangosteens = 3x110x1 of the kiwis
315 of the mangosteens = 310 of the kiwis 

Mangosteens : Kiwis
15 : 10 _(÷5)
3 : 2

The total number of mangosteens and kiwis is repeated.  Make the total number of mangosteens and kiwis the same.  LCM of 5 and 4 is 20.

Number of more chikoos than kiwis
= 15 u - 8 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of the fruits in the container altogether
= 12 u + 8 u + 15 u
= 35 u
= 35 x 2
= 70

Answer(s): 70