Question

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.

Answer 1

Answer:

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)