A company rents out 17 food booths and 27 game booths. The fee for a food booth is $125 plus $4 per day while a game booth is $95 plus $9 per day. The fair lasts for #d# days, and all the booths are rented the entire time. How much did the company make?

1 Answer
Oct 20, 2017

#4690+311d# dollars based on how many days the fair lasted

Explanation:

Let's break this up into food booths and game booths:

Food booths make 125 dollars plus 4 per day or:

#125+4d#

There are a total of 17 food booths, so multiplying we get:

#17(125+4d)#

#2125+68d# total dollars made on food booths

Game booths make 95 dollars plus 9 per day or:

#95+9d#

There are a total of 27 game booths, so multiplying we get:

#27(95+9d)#

#2565+243d# total dollars made on food booths

So combining these two expressions we get:

#2125+68d+2565+243d=4690+311d# dollars