Question

A company rents out 15 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $3 per day. The fee for a game both is $50 plus $5 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.

Answer 1

2,750+170d

Explanation:

Calculation to Enter and simplify an expression for the amount in dollars that the company is paid

First step

Let d represent numbers of day

15(100+3d)

Second step is the Expression for the food booths

25(50+5d)

Third step is Expression for the game booths

15(100+3d)+25(50+5d)

Fourth step is the Expression for both game and food booths

15*100+15*3d+25*50+25*5d

=1,500+45d+1,250+125d

Fifth step is to make use of distributive Property

1,500+1,250+45d+125d

Last step is to make use of cumulative property

(1,500+1,250)+(45d+125d)

=2,750+170d (combine like terms)

Therefore expression for the amount in dollars that the company is paid is 2,750+170d