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
