A container contains some passion fruits, mangosteens and apples. 0.2 of the passion fruits is equal to 70% of the mangosteens. The number of apples is ⁴₇ of the total number of mangosteens and passion fruits. If there are 220 less mangosteens than apples, how many fruits are there in the container altogether?

Passion Fruits	Mangosteens	Apples
7x7	2x7
7x9		4x9
49 u	14 u	36 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.2 of the passion fruits is equal to 70% of the mangosteens. Make the numerators the same.  LCM of 1 and 7 is 7.

1x75x7 of the passion fruits = 7x110x1 of the mangosteens
735 of the passion fruits = 710 of the mangosteens 

Passion Fruits : Mangosteens
35 : 10 _(÷5)
7 : 2

The total number of passion fruits and mangosteens is repeated.  Make the total number of passion fruits and mangosteens the same.  LCM of 9 and 7 is 63.

Number of less mangosteens than apples
= 36 u - 14 u
= 22 u

22 u = 220

1 u = 220 ÷ 22 = 10

Number of the fruits in the container altogether
= 49 u + 14 u + 36 u
= 99 u
= 99 x 10
= 990

Answer(s): 990