Question

To complete bookshelves, a customer at your store needs to purchase vertical brackets to attach to the wall. The customer wants the shelving to be 9 feet high and 10 feet long. The wall brackets come in 48-inch and 60-inch sections. The 48-inch sections cost $12.95; the 60-inch sections cost $16.95. The brackets should be 1 foot from each end and no more than 24 inches apart. What will be the total cost of the brackets, before tax?

Answer 1

To calculate the total cost of the brackets for the bookshelves, we need to figure out how many brackets are needed and then calculate the cost using the prices of the different bracket sections. The total cost of the brackets, before tax, will be $102.65.

Step-by-step explanation:

To calculate the total cost of the brackets, we need to figure out how many brackets are needed. The shelving is 9 feet high and 10 feet long, and brackets should be 1 foot from each end, so there will be 8 feet of shelving in between the brackets. Since the brackets should be no more than 24 inches apart, there will be 8 brackets needed for the 8 feet of shelving.

First, let's calculate the cost using the 48-inch sections. Each section is 4 feet long, so they can be divided into 2 brackets. Since 4 feet is half of 8 feet, we will need 4 of the 48-inch sections, which will cost: 4 * $12.95 = $51.80.

Next, let's calculate the cost using the 60-inch sections. Each section is 5 feet long, so they can be divided into 2 brackets. Since 5 feet is more than half of 8 feet, we will need 3 of the 60-inch sections, which will cost: 3 * $16.95 = $50.85.

To find the total cost, we add the costs of the 48-inch sections and the 60-inch sections: $51.80 + $50.85 = $102.65.

Answer 2

We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches

The brackets are
48/12 = 4 feet
and
60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3

The total cost is
($12.95 + $16.95) * 3 = $89.7
The total cost of the brackets is $89.7