50 ! jamie will choose between two catering companies for an upcoming party. company a chargers a set-up fee of $500 plus $25 for each guest. company b charges a set-up fee of $200 plus $30 per guest.
a. write expressions that you can use to determine the amount each company charges
b. jamie learns that the $500 set-up fee for company a includes payment for 20 guests. the $25 per guest charge is for every guest over the first 20. if there will be 50 guests, which company will cost the least? explain.

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

why can't you?

step-by-step explanation: