A container contains some mangosteens, apples and starfruits. 0.4 of the mangosteens is equal to 60% of the apples. The number of starfruits is ⁵₇ of the total number of apples and mangosteens. If there are 121 more starfruits than apples, how many fruits are there in the container altogether?

Mangosteens	Apples	Starfruits
3x7	2x7
7x5		5x5
21 u	14 u	25 u

0.4 = ⁴₁₀= ²₅
60% = ⁶⁰₁₀₀ = ³₅

0.4 of the mangosteens is equal to 60% of the apples. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the mangosteens = 3x25x2 of the apples
615 of the mangosteens = 610 of the apples 

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

The total number of mangosteens and apples is repeated.  Make the total number of mangosteens and apples the same.  LCM of 5 and 7 is 35.

Number of more starfruits than apples
= 25 u - 14 u
= 11 u

11 u = 121

1 u = 121 ÷ 11 = 11

Number of the fruits in the container altogether
= 21 u + 14 u + 25 u
= 60 u
= 60 x 11
= 660

Answer(s): 660