A container contains some mangoes, mangosteens and lemons. 0.2 of the mangoes is equal to 30% of the mangosteens. The number of lemons is ²₃ of the total number of mangosteens and mangoes. If there are 40 less mangosteens than lemons, how many fruits are there in the container altogether?

Mangoes	Mangosteens	Lemons
3x3	2x3
3x5		2x5
9 u	6 u	10 u

0.2 = ²₁₀= ¹₅
30% = ³⁰₁₀₀ = ³₁₀

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

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

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

The total number of mangoes and mangosteens is repeated.  Make the total number of mangoes and mangosteens the same.  LCM of 5 and 3 is 15.

Number of less mangosteens than lemons
= 10 u - 6 u
= 4 u

4 u = 40

1 u = 40 ÷ 4 = 10

Number of the fruits in the container altogether
= 9 u + 6 u + 10 u
= 25 u
= 25 x 10
= 250

Answer(s): 250