A container contains some mangoes, apples and passion fruits. 0.2 of the mangoes is equal to 30% of the apples. The number of passion fruits is ³₄ of the total number of apples and mangoes. If there are 21 less apples than passion fruits, how many fruits are there in the container altogether?

Mangoes	Apples	Passion Fruits
3x4	2x4
4x5		3x5
12 u	8 u	15 u

0.2 = ²₁₀= ¹₅
30% = ³⁰₁₀₀ = ³₁₀

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

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

Mangoes : Apples
15 : 10 _(÷5)
3 : 2

The total number of mangoes and apples is repeated.  Make the total number of mangoes and apples the same.  LCM of 5 and 4 is 20.

Number of less apples than passion fruits
= 15 u - 8 u
= 7 u

7 u = 21

1 u = 21 ÷ 7 = 3

Number of the fruits in the container altogether
= 12 u + 8 u + 15 u
= 35 u
= 35 x 3
= 105

Answer(s): 105