Question

Johnson’s Chair Rental charges a fixed fee for delivery and set-up, plus a price per chair. If 100 chairs cost $190 and 250 chairs cost $415, what is the price per chair and the delivery/set-up fee?

a) Price per chair: $2, Delivery/Set-up fee: $90
b) Price per chair: $1.50, Delivery/Set-up fee: $40
c) Price per chair: $2.50, Delivery/Set-up fee: $65
d) Price per chair: $1.80, Delivery/Set-up fee: $35

Answer 1

To find the price per chair and the delivery/set-up fee, set up a system of equations using the given information. Solve the system of equations to find the values of the price per chair and the delivery/set-up fee. The b) price per chair is $1.50 and the delivery/set-up fee is $40.

Step-by-step explanation:

To find the price per chair and the delivery/set-up fee, we can set up a system of equations using the given information:

Let's denote the delivery/set-up fee as x and the price per chair as y.

We have the following equations:

1. 100y + x = 190 (equation 1)
2. 250y + x = 415 (equation 2)

To solve this system, we can subtract equation 1 from equation 2:

250y + x - (100y + x) = 415 - 190

This simplifies to:

150y = 225

Dividing both sides by 150, we find that y = 1.50, which gives us the price per chair. Substituting this value into equation 1, we can find the delivery/set-up fee:

100(1.50) + x = 190

Simplifying this equation gives us x = 40.

Therefore, the price per chair is $1.50 and the delivery/set-up fee is $40.