Answered

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Anna baked some muffins. Her kids ate 1/10 of them and gave 2/3 of the remaining muffins to her nieces. If she had 9 muffins left, how many muffins did
she bake?

Sagot :

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