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

Show answers

Answers

answered: 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

answered: 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

answered: Guest

What are the choices

answered: Guest

600,000,000,000, or 6e14

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:00, amastar

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = x h(x) = x

Answers: 1

continue

Mathematics, 21.06.2019 20:00, chantelporter713

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

Answers: 1

continue

Mathematics, 21.06.2019 21:40, bella7524

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.

Answers: 1

continue

Mathematics, 21.06.2019 22:00, victordguerrero2535

Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt. she has two large bottles of salt water: one with 40% and the other with 70% of salt in them. how much of each must she use to make the solution she needs? i am in need of

Answers: 1

continue

Do you know the correct answer?

a party rental company has chairs and tables for rent. the total cost to rent 3 chairs and 5 tables...