A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $2 per day. The

Question

3 years ago

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A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $2 per day. The

fee for a game booth is $50 plus $3 per day. The fair lasts for n days, and all the booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the company is paid.

Mathematics

1 answer:

svetlana [45] · Answer 1 · 2022-04-09T17:19:54+03:00

Answer:

2,250 + 95n

Step-by-step explanation:

Cost of a food booth = 100 + 2n

Cost of 10 food booth = 10(100 + 2n)

= 1,000 + 20n

Cost of a game booth = 50 + 3n

Cost of 25 game booth = 25(50 + 3n)

= 1,250 + 75n

Total amount earned by the company = Cost of 10 food booth + Cost of 25 game booth

= (1,000 + 20n) + (1,250 + 75n)

= 1,000 + 20n + 1,250 + 75n

= 1,000 + 1,250 + 20n + 75n

= 2,250 + 95n

Total amount earned by the company = 2,250 + 95n