Respuesta :
Answer: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:
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