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Musya8 [376]
3 years ago
15

Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $500 plus $25 for each

guest. Company B charges a set up fee of $200 dollars plus 30per guest. How many guests are need where the price is equal
Mathematics
1 answer:
Serggg [28]3 years ago
4 0

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.

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