# Which Hall Should TFSS Choose?

### Help TFSS choose the best banquet hall for their dance.

## The Prices of Two Different Banquet Halls

Chand banquet hall's prices are $30 per student plus a fixed price of $1000

Saag banquet hall's prices are $20 per student plus a fixed price of $1800.

## Equations For Both of The Banquet Halls

Let X represent number of people

Let Y represent total cost

Let B represent fixed price

**Chand Banquet Hall:**

y=mx + b

y=30x + 1000

**Saag Banquet Hall:**

y=mx + b

y=20x + 1800

## Non-Graphic Solution

30x+1000=20x+1800

10x=800

10x/10=800/10

x=80

***To check if the math is correct***

30x+1000=20x+1800

30(80)+1000=20(80)+1800

3400=3400

## Therefore at 80 students both banquet halls will cost $3400, after 80 students Saag banquet hall is cheaper and before 80 students Chand banquet hall is cheaper.

*all banquet hall names and prices are fictitious*