Answer :
Given:
1 set requires 4 couples 8 dancers.
Total number of people at a square dance = 250.
To find:
The greatest number of sets possible at the dance.
Solution:
We have,
Total people = 250
1 set = 8 people.
[tex]\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}[/tex]
[tex]\text{Number of possible sets}=\dfrac{250}{8}[/tex]
[tex]\text{Number of possible sets}=31.25[/tex]
Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.
[tex]\text{Number of possible sets}\approx 31[/tex]
Therefore, the number of possible sets at the dance is 31.