Question

50 POINTS!!! 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.

Answer 1

Answer:

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.

Answer 2

Answer:

A. Company A

     500 + (25) y

     Company B

     200 + (30) y

B.   Company b is less expensive. $200 for 20 guests, and $900 for 30 more guests. In total, You’ll have to pay $1,100 for Company b. Company a, on the other hand, for 20 guests thats $500. Adding $750 for having 30 more guests. In total for company a, that’s $1,250. Therefore, company b is the least expensive.

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