Question

a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a square dance. What is the greatest number of sets possible at the dance?

Answer 1

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.

`\text{Number of possible sets}=\frac{\text{Total people}}{\text{People required for 1 set}}`

`\text{Number of possible sets}=(250)/(8)`

`\text{Number of possible sets}=31.25`

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

`\text{Number of possible sets}\approx 31`

Therefore, the number of possible sets at the dance is 31.