A container contains some mangosteens, lemons and passion fruits. 0.2 of the mangosteens is equal to 60% of the lemons. The number of passion fruits is ⁵₆ of the total number of lemons and mangosteens. If there are 49 more passion fruits than lemons, how many fruits are there in the container altogether?

Mangosteens	Lemons	Passion Fruits
3x3	1x3
6x2		5x2
9 u	3 u	10 u

0.2 = ²₁₀= ¹₅
60% = ⁶⁰₁₀₀ = ³₅

0.2 of the mangosteens is equal to 60% of the lemons. Make the numerators the same.  LCM of 1 and 3 is 3.

1x35x3 of the mangosteens = 3x15x1 of the lemons
315 of the mangosteens = 35 of the lemons 

Mangosteens : Lemons
15 : 5 _(÷5)
3 : 1

The total number of mangosteens and lemons is repeated.  Make the total number of mangosteens and lemons the same.  LCM of 4 and 6 is 12.

Number of more passion fruits than lemons
= 10 u - 3 u
= 7 u

7 u = 49

1 u = 49 ÷ 7 = 7

Number of the fruits in the container altogether
= 9 u + 3 u + 10 u
= 22 u
= 22 x 7
= 154

Answer(s): 154