Answer:
Space between 80 evenly spaced chairs = 21m
Step-by-step explanation:
So, according to the given statement, we have the following expression:
No. of chairs ∝ [tex]\frac{1}{Distance.Between.chairs}[/tex]
70 chairs are 24m apart, so it can be written as:
70 ∝ [tex]\frac{1}{24}[/tex]
For, 1 chair , we divide both sides by 70
[tex]\frac{70}{70}[/tex] ∝ [tex]\frac{1}{24(70)}[/tex]
1 ∝ [tex]\frac{1}{24 (70)}[/tex] -----------------------(Equation 1)
For 80 chairs:
Multiply both sides of Equation.1 by 80
80 ∝ [tex]\frac{80}{24 (70)}[/tex]
80 ∝ [tex]\frac{1}{21}[/tex]
So according to the above relation,
80 evenly spaced chairs will have a space of 21 m between them.