2. You are installing a new pre-constructed fence in front of your house. Each fence section measures 4 1/2 feet wide, and each end will also have a decorative piece that measures 1 3/4 feet wide.
If the space for the fence is 30 feet wide, what is the most number of 4 1/2 foot fence sections you could install?
I calculated 4 1/2 + 3/4 = 5.25
30/5.25 = 4
Nope.
4.5x + 3.5 = 30
4.5x = 26.5
x = 5.89 = 5
To calculate the most number of 4 1/2 foot fence sections you could install, you need to consider the space occupied by each section as well as the decorative pieces at each end.
First, you need to find the total width occupied by each section, including the decorative pieces at both ends. Adding the width of the fence section (4 1/2 feet) with the width of each end decorative piece (1 3/4 feet) gives us a total of 5 1/4 feet per section.
Next, you divide the total width of the space available for the fence (30 feet) by the total width occupied by each section (5 1/4 feet). This calculation gives us the maximum number of fence sections that can be installed.
Dividing 30 feet by 5 1/4 feet, we get:
30/5 1/4 = (30/1)/(5 1/4/1) = 30/5 1/4 = 30/5.25 = 5.714
The result is approximately 5.714 fence sections. However, since you can't have a fractional section, we need to round down to the nearest whole number. Therefore, the most number of 4 1/2 foot fence sections you could install is 5.