A container contains some mangosteens, apples and kiwis. 0.4 of the mangosteens is equal to 70% of the apples. The number of kiwis is ³₄ of the total number of apples and mangosteens. If there are 119 less apples than kiwis, how many fruits are there in the container altogether?

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

0.4 = ⁴₁₀= ²₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

2x75x7 of the mangosteens = 7x210x2 of the apples
1435 of the mangosteens = 1420 of the apples 

Mangosteens : Apples
35 : 20 _(÷5)
7 : 4

The total number of mangosteens and apples is repeated.  Make the total number of mangosteens and apples the same.  LCM of 11 and 4 is 44.

Number of less apples than kiwis
= 33 u - 16 u
= 17 u

17 u = 119

1 u = 119 ÷ 17 = 7

Number of the fruits in the container altogether
= 28 u + 16 u + 33 u
= 77 u
= 77 x 7
= 539

Answer(s): 539