Question

Aparty rental company has chairs and tables for rent. The total cost to rent 5 chairs and 6 tables is $65. The total cost to

Answer 1

Answer:the cost of renting each chair is $2.5

the cost of renting each table is $8.75

Step-by-step explanation:

Let x represent the cost of renting each chair.

Let y represent the cost of renting each table.

The total cost to rent 5 chairs and 6 tables is $65. This means that

5x + 6y = 65 - - -- - - - - - - -1

The total cost to rent 3 chairs and 2 tables is $25. This means that

3x + 2y = 25 - - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 5, it becomes

15x + 18y = 195

15x + 10y = 125

Subtracting, it becomes

8y = 70

y = 70/8 = 8.75

Substituting y = 8.75 into equation 1, it becomes

5x + 6 × 8.75 = 65

5x + 52.5 = 65

5x = 65 - 52.5 = 12.5

x = 12.5/5 = 2.5