# 3/4 of the rosebuds in a garden bloomed yesterday, and 2/5 of the remaining rosebuds bloomed today. 66 rosebuds have not yet bloomed. How many rosebuds were there in total? How many rosebuds bloomed today? Please give steps.

1
by Chesnut

• Brainly User
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

(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)