Question

A company rents out 16 food booths and 25 game booths at the county fair. The fee for a food booth is $175 plus $5 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for 'd' days, and all the booths are rented for the entire time. Write and simplify an expression for the amount in dollars the the company is paid.

Answer 1

The total amount paid is (280d + 4425) dollars

Solution:

Let "d" be the number of days for which the booths are rented

Let us write a expression for the amount of money for the food booths

The fee for a food booth is $175 plus $5 per day

Fee for food booth = 175 + 5d

Let us write a expression for the amount of money for the game booth

The fee for a game booth is $65 plus $8 per day

Fee for game booth = 65 + 8d

Write and simplify an expression for the amount in dollars the the company is paid

Company rents out 16 food booths and 25 game booths at the county fair

Therefore, the total amount paid by company is given as:

Total amount paid = 16 food booth x fee for food booth + 25 game booth x fee for game booth

`Total\ amount\ paid = 16 * (175+5d) + 25 * (65+8d)\\\\Total\ amount\ paid = 2800 + 80d + 1625 + 200d\\\\Total\ amount\ paid = 280d + 4425`

Thus the total amount paid is (280d + 4425) dollars