She made 15 cookies
Solution:
Let "x" be the number of cookies she made
She gave 1/3 of cookies for her husband
Therefore,
[tex]Husband = \frac{1}{3}x[/tex]
Find the remaining
[tex]Remaining = x - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]
1/4 of the cookies to her son
Therefore,
[tex]son = \frac{1}{4} \times \frac{2x}{3} = \frac{x}{6}[/tex]
Now again find the remaining
[tex]Remaining = \frac{2x}{3} - \frac{x}{6} = \frac{x}{2}[/tex]
1/6 of a cookies to her neighbor
[tex]Neighbor = \frac{1}{6} \times \frac{x}{2} = \frac{x}{12}[/tex]
Now again find the remaining
[tex]Remaining = \frac{x}{2} - \frac{x}{12} = \frac{5x}{12}[/tex]
She ate the remaining six cookies
Therefore,
[tex]\frac{5x}{12} = 6\\\\5x = 72\\\\x = 14.4[/tex]
Thus she made approximately 15 cookies
