49% of the pastries in a confectionary are durain puffs. The rest of them are chocolate puffs and custard puffs. The ratio of the number of chocolate puffs to that of custard puffs ie 5:12 .There are 204 more durain puffs than chocolate puffs . How many durian puffs and custard puffs are there altogether ?

Hi!
Here is the answer to your question.
 
Let there are x pastries.
Percentage of durain puffs = 49%
Sum of percentages of custard puffs and chocolate puffs = 100 – 49 = 51%
Ratio of chocolate puffs to custard puffs = 5:12
Sum of the parts of the ratio is 5 + 12 = 17
Number of durain puffs = 49 × 6 = 294
Number of custard puffs = 36 × 6 = 216
Thus, number of durain puffs + custard puffs = 294 + 216 = 510
 
Cheers!

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