Question

Please help with this!!

Answer 1

Answer:

Step-by-step explanation:

Forming linear equations and solving:

    Cost =  fixed rate + number of guests* cost per meal.

Let  x be the number of guests.

a)  Pin hall:

       Fixed rate = $ 500

      Cost per meal = $15

      Cost = 500 + 15*x

    $\sf \boxed{\bf C = 500 + 15x}$

Bloom place:

       Fixed rate = $350

   Cost per meal = $18

         $\sf \boxed{\bf C = 350 +18x}$

b) Given the charges are same at both halls.

  350 + 18x = 500 + 15x

             18x = 500 + 15x - 350

              18x = 150 + 15x

        18x -15x = 150

                3x  = 150

                  x = 150 ÷ 3

                  x = 50

When the number of guests is 50, the cost is same at both the halls

Answer 2

Hello!

Forming the equations :

y = mx + b

m = rate per hour

b = fixed charge

$\fbox {y = 15x + 500}$

$\fbox {y = 18x + 350}$

Solving for number of guests at which cost is the same :

15x + 500 = 18x + 350

3x = 150

x = 25 guests