Answer: 11, 6.5 ft
Step-by-step explanation:
Given
The length of the roll is [tex]100\ ft[/tex]
The length required for a pump is [tex]8\ \frac{1}{2}\ ft=\frac{17}{2}\ ft[/tex]
No of pumps(n) we get
[tex]\Rightarrow \dfrac{100}{\frac{17}{2}}=11.76\ \approx 11[/tex]
length for 11 pumps
[tex]\Rightarrow 11\times \frac{17}{2}=93.5\ ft[/tex]
The remaining length of the tube is
[tex]\Rightarrow 100-93.5=6.5\ ft[/tex]