Question

There are 150 chairs arranged for people to watch a band concert. If 92 chairs have people sitting in them during the concert, what percentage of the chairs are not filled?

Answer 1

Step-by-step explanation:

Given:-

There are 150 chairs arranged for people to watch a band concert. If 92 chairs have people sitting in them during the concert.

To find:-

What percentage of the chairs are not filled?

Solution:-

Total number of chairs arranged for people to watch a band concert = 150

Total number of people are sitting in the chairs = 92

Remaining Chairs = 150-92

= 58

Number of chairs are not filled = 58

Percentage of chairs are not filled

= (Number of chairs are not filled / Total number of chairs are arranged ) × 100

= (58/150) × 100

= (58×100)/150

= 5800/150

= 580/15

= 38.66 ..(approximately)

= 38.67% (approximately)

Alternative Method:-

Total number of chairs arranged for people to watch a band concert = 150

Total number of people are sitting in the chairs = 92

Percentage of chairs are filled = ( Chairs are filled / Total number of chairs)×100

= (92/150)×100

= 9200/150

= 920/15

= 61.33...

= 61.33% (approximately)

Now Percentage of chairs are not filled

= 100% - 61.33%

= 38.67% (approximately)

Answer:-

The percentage of chairs are not filled by the people to watch the band concert is 38.67%

Answer 2

$\bf\green{Question:-}$

There are 150 chairs arranged for people to watch a band concert. If 92 chairs have people sitting in them during the concert, what percentage of the chairs are not filled?

$\bf\blue{Answer:-}$

• Total number of chairs = 150

• Number of chairs in which people are sitting = 92

• The chairs remaining = 150 - 92 = 58

We need to find the percentage of chairs that are remaining.

That is,

Let the percentage be x.

$\longmapsto\bf{x~\%~~of~~150=58}$

$\longmapsto\bf{150\times\dfrac{x}{100}=58}$

On reducing,

$\longmapsto\bf{\dfrac{3x}{2}=58}$

$\longmapsto\bf{3x=58\times2}$

$\longmapsto\bf{3x=116}$

$\longmapsto\bf{x=\dfrac{116}{3}}$

$\longmapsto\bf{x=38.67}$

So, the percentage of the chairs are not filled is 38.67.

On rounding this, 38.7 % is obtained!

Happy Learning!