A company rents out 15 food booths and 20 game booths at the country fair. The fee for a food booth is $100 plus $5 per day. The fee for a game booth is $50 plus and $7 per day. The fair lasts for d days, and all the booths and all the booths are rented for the entire time. Write and simplify an expression for the amount in dollars that the company is paid.

So the required expression is $ (150 + 12d)

Step-by-step explanation:

Total Food booths rented = 15

Total game booths rented = 20

Fixed one day food booth Price = $100

Per day price of food booth = $5

Fixed one day game booth Price = $50

Per day price of game booth = $7

Total No of days = d

To write an expression the company paid for both in dollars

As we have got the no of days

So Company paid Money for d days for food booth = Total days * price per day

= d * $ 5

=$ 5 d

So Company paid Money for d days for game booth = Total days * price per day

= d * $ 7

=$ 7 d

Total Paid for food booth = Fixed price + D days Price

= $ 100 + $ 5d

Total Paid for game booth = Fixed price + D days Price

= $ 50 + $ 7d

Total Company Paid = Total Paid for food booth + Total Paid for game booth

putting in the values gives us

Total Company Paid = $ (100 + 5d) + $ (50 + 7d)

Adding the similar terms gives

Total Company Paid = $ (100 + 50) + $ (5d + 7d)

Total Company Paid = $ (150 + 12d)

So the required expression is $ (150 + 12d)