Answer:
Length of carpet she needed is [tex]4\frac{1}{3}[/tex] yards.
Step-by-step explanation:
Given: Arliss has two pieces of carpet runner. One is [tex]2\frac{1}{3}[/tex] yards long and the other is [tex]3\frac{1}{3}[/tex] yards long. She needs 10 yards of carpet runner altogether.
We have to calculate the length of carpet she needs to buy more.
Length of carpet she needed = Total length of carpet - total length of carpet she have.
Total length of carpet she have = [tex]2\frac{1}{3}+3\frac{1}{3}[/tex]
On solving,
Total length of carpet she have = [tex]\frac{7}{3}+\frac{10}{3}=\frac{17}{3}[/tex]
Length of carpet she needed = [tex]10-\frac{17}{3}[/tex]
Length of carpet she needed = [tex]\frac{30-17}{3}=\frac{13}{3}[/tex]
Thus, Length of carpet she needed is [tex]4\frac{1}{3}[/tex] yards.
