Mathematics, 07.01.2020 23:31 raeleemae

a party rental company has chairs and tables for rent. the total cost to rent 3 chairs and 5 tables is $48. the total cost to rent 6 chairs and 2 tables is $30. what is the cost to rent each chair and each table?
cost to rent each chair: $
cost to rent each table: $

Answers: 2

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Answers

Answer from: LilFabeOMM5889

the cost of renting one chair is $2.25

the cost of renting one table is $8.25

Step-by-step explanation:

Let x represent the cost of renting one chair.

Let y represent the cost of renting one table.

The total cost to rent 3 chairs and 5 tables is $48. This means that

3x + 5y = 48 - - - - - - - - - -1

The total cost to rent 6 chairs and 2 tables is $30. This means that

6x + 2y = 30 - - - - - - - - - -2

Multiplying equation 1 by 6 and equation equation 2 by 3, it becomes

18x + 30y = 288

18x + 6y = 90

Subtracting, it becomes

24y = 198

y = 198/24 = 8.25

Substituting y = 8.25 into equation 1, it becomes

3x + 5 × 8.25 = 48

3x + 41.25 = 48

3x = 48 - 41.25 = 6.75

x = 6.75/3 = 2.25

Answer from: ashgold324

The answer to your question is Table = $8.25; Chair = $2.25

Step-by-step explanation:

Chair = C

Table = T

To solve this problem we need to write two equations and solve the system.

Equation 1 3C + 5T = $48

Equation 2 6C + 2T = $30

Solve then by Elimination

Multiply equation 1 by 2 6C + 10T = 96

Multiply equation 2 by -5 -30C - 10T = -150

-24C 0 = -54

C = -54 / -24

C = $2.25

Substitute C in Equation 1 3(2.25) + 5T = 48

27/4 + 5T = 48

5T = 48 - 27/4

5T = 165/4

T = 165/20

T = 33/4 = $8.25

Answer from: Quest

step-by-step explanation:

Answer from: Quest

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

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