To solve this problem, we need to use a bit of division.
First, we need to convert the length of the parade route from miles to feet, since we're looking for the distance between the refreshment stands in feet.
3 miles = 3 x 5280 = 15,840 feet
Next, we need to subtract the length of the two sections that already have refreshment stands (beginning and end):
15,840 - 2(1/8 x 15,840) = 13,860 feet (Note: we're using 1/8 since there are 8 equally-spaced refreshment stands in total, including the ones at the beginning and end)
Now we can divide the remaining distance by the number of gaps between the refreshment stands. Since there are 8 refreshment stands in total, but 2 of them are already accounted for, there are 6 gaps between them:
13,860 / 6 = 2,310 feet
So the refreshment stands are 2,310 feet apart.
Diagram:
Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand
parade route is
3
4
mile long. There will be a refreshment stand at the beginning and end of the route. There will also be 8 refreshment stands along the route. All the refreshment stands are equally-spaced apart. How far apart are the refreshment stands in feet? Draw a diagram to help you answer the question. Be sure to count the number of gaps between the refreshment stands.
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The refreshment stands are
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feet apart.
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