Answer: [tex]\frac{1}{4}[/tex] of the pot is left.
Step-by-step explanation:
Let x be the total amount of pasta in the pot .
Then the amount of pasta her mother got= [tex]\frac{1}{12}x[/tex]
The amount of pasta her brother got= [tex]\frac{1}{6}x[/tex]
The total amount of pasta he serve= [tex]\frac{1}{12}x+\frac{1}{6}x[/tex]
First convert them in like fractions,then
The total amount of pasta he serve=[tex]\frac{1}{12}x+\frac{2}{12}x=\frac{x+2x}{12}=\frac{3x}{12}=\frac{1}{4}x[/tex]
Hence, [tex]\frac{1}{4}[/tex] of the pot is left over.
