Answer:
[tex]\frac{23}{21} feets[/tex]
Step-by-step explanation:
Given.
Sally started with two feets of cloth.
Total cloth = [tex]2 feets[/tex]
She used [tex]\frac{1}{3}[/tex] of a foot of the cloth to make a pillow cover.
And another [tex]\frac{4}{7}[/tex] of a foot of the cloth to make a table cloth.
She used total cloth to make a pillow cover and table cloth = [tex]\frac{1}{3} +\frac{4}{7}[/tex]
[tex]=\frac{7+12}{21} \\=\frac{19}{21}[/tex]
Total used cloth by Sally = [tex]\frac{19}{21}[/tex]
The equation for remaining cloth
remaining cloth = total cloth - used cloth
remaining cloth [tex]= 2 - \frac{19}{21}[/tex]
remaining cloth [tex]= \frac{2\times 21-19}{21}[/tex]
remaining cloth [tex]= \frac{42-19}{21}[/tex]
remaining cloth [tex]= \frac{23}{21}[/tex]
Sally has remaining cloth = [tex]\frac{23}{21}[/tex] feets
