Total muffins: x
Muffins kids ate: (1/10)(x)
Muffins given to nieces: (2/3) (9/10)(x) or (3/5) (x)
Muffins left: 9 muffins
Equation:
x - (x/10 + 3x/5) = 9
x - (x/10 + 6x/10) = 9
x - (7x/10) = 9
(10) (x) - 7x = 9 (10)
10x - 7x = 90
3x = 90
3x/3 = 90/3
x = 30
ANSWER: She baked 30 muffins.
Check:
Total muffins: x = 30 muffins
Muffins kids ate: (1/10) (30) = 3 muffins
Muffins given to nieces: (2/3) (27) = 18 muffins
Muffins left = 9 muffins
3 + 18 + 9 = 30
30 = 30