Question

a company rents out 15 food. booths and 20 games booths at the county fair.the fee for a food booths is 100 plus 5 per day the. fee for game booths is 50 plus 7per day the fair lests for d day and all the booths are rented for the entire time write and simplify and expression for the amount in dollars that the company is paid

Answer 1

2500 + 215d

Explanation:

Total revenue from all booths is the sum of the revenue from the food booths and from the games booths. The food booth revenue for each booth is 100 + 5d, where d is the number of days the fair lasts. There are 15 food booths, so the total revenue from them is ...

... (food booth revenue) = 15(100 +5d)

The games booth revenue for each booth is 50 + 7d, where d is the number of days the fair lasts. There are 20 games booths, so the total revenue from them is ...

... (games booth revenue) = 20(50 +7d)

Then the total revenue is

... total revenue = (food booth revenue) + (games booth revenue)

... = 15(100 +5d) + 20(50 +7d) . . . . . . use the expression for revenue from each

... = 1500 +75d + 1000 +140d . . . . . . eliminate parentheses

... = 2500 + 215d . . . . . . . . . . . . . . . . collect terms