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
[tex]\sf \boxed{\bf C = 500 + 15x}[/tex]
Bloom place:
Fixed rate = $350
Cost per meal = $18
[tex]\sf \boxed{\bf C = 350 +18x}[/tex]
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
