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

Verified Answer :

Kalahira

Given that 15 food booths were rented out for ‘d’ days at $100 plus $5 per day.
On the food booths only, the company will earn 15($100+$5d) = $1500 + $75d

Given that 20 game booths were rented out for ‘d’ days at $50 plus $7 per day.
On the game booths only, the company will earn 20($50 + $7d) = $1000 + $140d

 The total amount that the company is paid is therefore, $1500 + $75d + $1000 + $140d
= $2500 + $215d

rylailimpot

Answer:

3,200 + 303d

Step-by-step explanation:


Step 1:  

(Add expressions for the total amount for each type of booth.
)

16(75 + 8d) + 25(80 + 7d)  

(Use the Distributive Property to expand each expression.
)

= 16(75) + 16(8d) + 25(80) + 25(7d)

Step 2:  

= 1,200 + 2,000 + 128d + 175d

(Use the Commutative Property.
)

Step 3:  

= 3,200 + 303d

(Combine like terms.)

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