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2016-03-28T21:48:01+08:00

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Let x be the total rosebuds.
3/4(x) bloomed yesterday
(2/5)(1/4)(x) = 1/10 (x) bloomed today
66 have not yet bloomed

Equation (Add):

     (3/4)x + (1/10)x + 66 = x
     
LCD: 20
     (20)(3/4)x + (20)(1/10)x + (20) (66) = (20) x
 
     15x + 2x + 1,320 = 20x
  
     20x - 17x = 1,320
  
     3x = 1,320
  
     3x/3 = 1,320/3
 
     x = 440 buds

Substitute 440 for x:
Total Rosebuds: x = 440 rosebuds
Rosebuds that bloomed yesterday: (3/4)(440) = 330 rosebuds
Rosebuds that bloomed today: (2/5) (440-330) 
                                                  (2/5)(110) = 44 rosebuds


ANSWER:  There were 440 total rosebuds and 44 rosebuds bloomed today.

Check:
     330 + 44 + 66 = 440
     440 = 440   (True)




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