Sally has a piece of cloth used 1/3 of a foot of the cloth to make a pillow cover in another 4/7 of a foot of the cloth to make a tablecloth Sally started with two feets of cloth how much cloth does she have remaining?
Accepted Solution
A:
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 clothremaining cloth = total cloth - used clothremaining 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