Question

a party rental company has chairs and tables for rent. the total cost to rent 2 chairs and 6 tables is $64. the total cost to rent 5 chairs and 3 tables is $37. what is the cost to rent each chair and each table

Answer 1

To find the cost to rent each chair and each table, we can set up a system of equations and solve it using the substitution method. The cost to rent each chair is $1.25 and the cost to rent each table is $10.25.

Step-by-step explanation:

To find the cost to rent each chair and each table, we can set up a system of equations using the given information.

Let c be the cost to rent each chair and t be the cost to rent each table.

From the first scenario, we have:

2c + 6t = 64

From the second scenario, we have:

5c + 3t = 37

We can solve this system of equations using substitution or elimination. Let's use the substitution method.

First, let's solve the first equation for c:

c = (64 - 6t) / 2

Substitute this expression for c into the second equation:

5((64 - 6t) / 2) + 3t = 37

Simplify and solve for t:

320 - 30t + 6t = 74

-24t = -246

t = 10.25

Now substitute this value of t back into the first equation to find c:

2c + 6(10.25) = 64

2c + 61.5 = 64

2c = 2.5

c = 1.25

Therefore, the cost to rent each chair is $1.25 and the cost to rent each table is $10.25.