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

Number of guests = 10

Step-by-step 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

Hence,

Number of guests = 10

536

step-by-step explanation:

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.