QuestionTo 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 ; the 60 -inch sections cost . 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? A B C D E
Studdy Solution
STEP 1
1. The shelving is 9 feet high and 10 feet long.
2. Wall brackets come in 48-inch and 60-inch sections.
3. 48-inch sections cost 16.95.
5. Brackets should be placed 1 foot from each end and no more than 24 inches apart.
6. We need to calculate the total cost of the brackets before tax.
STEP 2
1. Convert dimensions to consistent units.
2. Determine the number of brackets needed.
3. Calculate the total cost of the brackets.
STEP 3
Convert dimensions to consistent units.
- The shelving height is 9 feet, which is inches.
- The shelving length is 10 feet, which is inches.
STEP 4
Determine the number of brackets needed.
- Brackets should be 1 foot (12 inches) from each end, so the effective length for brackets is inches.
- Brackets should be no more than 24 inches apart.
Calculate the number of brackets needed:
- Start with a bracket at 12 inches.
- Place additional brackets every 24 inches until reaching 108 inches.
- Total number of brackets = 5
STEP 5
Calculate the total cost of the brackets.
- Choose bracket sections: Since each bracket is vertical and 108 inches high, use two 60-inch sections per bracket.
Cost calculation:
- Each bracket requires 2 sections of 60 inches.
- Total sections needed = sections.
- Cost per 60-inch section = $16.95.
Total cost:
The total cost of the brackets, before tax, is:
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