A container contains some mangosteens, pears and passion fruits. 0.2 of the mangosteens is equal to 40% of the pears. The number of passion fruits is ⁵₇ of the total number of pears and mangosteens. If there are 64 more passion fruits than pears, how many fruits are there in the container altogether?

Mangosteens	Pears	Passion Fruits
2x7	1x7
7x3		5x3
14 u	7 u	15 u

0.2 = ²₁₀= ¹₅
40% = ⁴⁰₁₀₀ = ²₅

0.2 of the mangosteens is equal to 40% of the pears. Make the numerators the same.  LCM of 1 and 2 is 2.

1x25x2 of the mangosteens = 2x15x1 of the pears
210 of the mangosteens = 25 of the pears 

Mangosteens : Pears
10 : 5 _(÷5)
2 : 1

The total number of mangosteens and pears is repeated.  Make the total number of mangosteens and pears the same.  LCM of 3 and 7 is 21.

Number of more passion fruits than pears
= 15 u - 7 u
= 8 u

8 u = 64

1 u = 64 ÷ 8 = 8

Number of the fruits in the container altogether
= 14 u + 7 u + 15 u
= 36 u
= 36 x 8
= 288

Answer(s): 288