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.

For what number of guests will the cost of Caterer A be the same as the cost of Caterer B? number or guest

Answer 1

Number of guests = 10

Explanation:

Given that:

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

Let,

x be the number of guests.

A(x) = 15x + 100

B(x) = 20x + 50

For the cost to be equal;

A(x) = B(x)

15x + 100 = 20x + 50

100 - 50 = 20x - 15x

50 = 5x

Dividing both sides by 5

`(5x)/(5)=(50)/(5)\\x=10`

Hence,

Number of guests = 10