A group medical practice has 40,000 patients. Charts vary in thickness from 1/4 to 1 inch thick. The average of all charts is 1/2 inch thick. Using the average 1/2 inch thickness, how many inches of shelf space will be required for 40,000 charts?
1 patients needs 1/2 inch
40000 patients need (12)(40000) = .... inches of shelf space
20,000 inches
To find the total inches of shelf space required, we need to multiply the average thickness by the number of charts.
Average thickness = 1/2 inch
Number of charts = 40,000
Total inches of shelf space = Average thickness * Number of charts
Total inches of shelf space = 1/2 inch * 40,000
Total inches of shelf space = 20,000 inches
Therefore, 20,000 inches of shelf space will be required for 40,000 charts.
To calculate the total inches of shelf space required for 40,000 charts, you need to multiply the total number of charts by the average thickness of each chart.
First, let's find the difference between the thickest and thinnest charts:
1 inch (thickest) - 1/4 inch (thinnest) = 3/4 inch.
Since the average thickness of all charts is given as 1/2 inch, we can consider the difference as the range of deviation from the average thickness. This means each chart can deviate from the average by up to 3/4 inch.
To find the total inches of shelf space required for 40,000 charts, we multiply the total number of charts by the maximum deviation from the average:
40,000 charts × (1/2 inch + 3/4 inch) = 40,000 charts × (5/4 inch).
Now, let's simplify the expression:
40,000 charts × (5/4 inch) = 40,000 × 5/4 inch = 200,000/4 inch = 50,000 inch.
Therefore, based on the given information, 40,000 charts would require 50,000 inches of shelf space.