Question

111. 12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 25feet deep on both sides of the street along a 3-mile section of a parade route (Hint: 1 mile - 5 280 ft)

Answer 1

The estimated crowd is of 380160 people.

Explanation:

We solve this question applying a proportion on the following format:

People divided by area.

Let's do the drawing:

12 people fit comfortably in a 5 feet by 5 feet area.

So

12 people fitting in an area of 5*5 = 25 ft².

Area of the street:

3 miles = 3*5280 ft = 15840 ft

25 feet on both sides. So, the total area in which the crowd is sparsed is:

A = 15840*25*2= 792000 ft².

Now we apply the ratio:

People over area.

`(12)/(25)=(x)/(792000)`

Applying cross multiplication:

25x = 12*792000

x = (12*792000)/25

x = 380160

The estimated crowd is of 380160 people.