Question

Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.

Answer 1

Answer:

For 10 guests, the cost of Caterer A be the same as the cost of Caterer B

Step-by-step explanation:

Let for x guest the cost of Caterer A be the same as the cost of Caterer B,

According to the question,

The charge for x persons by caterer A,

100 + 15x

And, the charge for x person by caterer B,

50 + 20x

Thus, 100 + 15x = 50 + 20x

⇒  100 - 5x = 50     ( By subtracting 20x on both sides)

⇒ 100 - 50 - 5x = 0 (  By subtracting 50 on both sides)

⇒ 50 - 5x = 0

⇒ -5x = -50    

⇒ x = 10 ( Dividing both sides by -5)

Thus, For 10 guests, the cost of Caterer A be the same as the cost of Caterer B