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mabutler2013
30.03.2020 •
Mathematics
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $41. The total cost to rent 7 chairs and 9 tables is $109. What is the cost to rent each chair and each table?
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Ответ:
Chair = $1.75
Table = $10.75
Step-by-step explanation:
Let the cost of renting each chair be A and that of table be B
Given cost to rent 5 chairs and 3 tables is $41
That’s
5A + 3B = 41
Also, the cost of renting 7 chairs and 9 tables is $109
That’s
7A + 9B = 109
We no have two equations
1. 5A + 3B = 41
2. 7A + 9B = 109
Multiply equation 1 by 7 answers equation 2 by 5 so we can eliminate A
We have
7 x 5A + 7 x 3B = 7 x 41
5 x 7A + 5 x 9B = 5 x 109
35A + 21B = 287
35A + 45B = 545
Subtract equation 2 from equation 1
-24B = -258
Divide both sides by -24
-24B/-24 = -258/-24
B = $10.75
Now substitute 10.75 for B in either equations to get A.
Using equation 1, we have
5A + 3B = 41
5A + 3 x 10.75 = 41
5A + 32.25 = 41
Subtract 32.25 from both sides
5A + 32.25 - 32.25 =41-32.25
5A = 8.75
Divide both sides by 5 to get A
5A/5 = 8.75/5
A = $1.75
Each chair cost $1.75 and each table cost $10.75
Check
5(1.75) + 3(10.75) = 41
Ответ:
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Step-by-step explanation: