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Varvara68 [4.7K]
3 years ago
13

A company rents out 16 food booths and 23 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The

fee for a game booth is $95 plus $5 per dat. The fair lasts for d days, and all the booths are rented for the entire time. What is the simplified expression for the amount, in dollars, that the company is paid.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

3785 + 259d

Step-by-step explanation:

cost of food booths = 16 * (100 + 9d) = 1600 + 144d

cost of game booths = 23 * (95 + 5d) = 2185 + 115d

total = 1600 + 2185 + 144d + 115d = 3785 + 259d

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Solve this system. Write your answer as an ordered pair.
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Y = -3 + 5x ----------------- (1)
3x - 8y = 24 --------------- (2)     

Solve by substitution. We will substitute equation (1) into equation (2):

------------------------------------------------------------
Substitute equation (1) into equation (2) :
------------------------------------------------------------
3x - 8y = 24                 // Equation (2)
3x - 8(-3 + 5x) = 24      // Sub x = -3 + 5x
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x = 0                             // Divide by -37 on both sides

Sub x = 0 into equation (1) :
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y = -3                               // Combine like terms

-----------------------------------------------
Answer : The ordered pair is (0, -3).
-----------------------------------------------      
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