A box contains some kiwis, mangoes and lemons. 0.4 of the kiwis is equal to 30% of the mangoes. The number of lemons is ³₄ of the total number of mangoes and kiwis. If there are 30 more lemons than mangoes, how many fruits are there in the box altogether?

Kiwis	Mangoes	Lemons
3x4	4x4
4x7		3x7
12 u	16 u	21 u

0.4 = ⁴₁₀= ²₅
30% = ³⁰₁₀₀ = ³₁₀

0.4 of the kiwis is equal to 30% of the mangoes. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the kiwis = 3x210x2 of the mangoes
615 of the kiwis = 620 of the mangoes 

Kiwis : Mangoes
15 : 20 _(÷5)
3 : 4

The total number of kiwis and mangoes is repeated.  Make the total number of kiwis and mangoes the same.  LCM of 7 and 4 is 28.

Number of more lemons than mangoes
= 21 u - 16 u
= 5 u

5 u = 30

1 u = 30 ÷ 5 = 6

Number of the fruits in the box altogether
= 12 u + 16 u + 21 u
= 49 u
= 49 x 6
= 294

Answer(s): 294