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)