There are about 7 billion people on Earth. Suppose that they all lined up and held hands, each person taking about 2 yards of space.

a. How long a line would the people form?
b. The circumference of the Earth is about 25,000 miles at the equator. How many times would the line of people wrap around the Earth?

a. 2 * 7,000,000,000 = ?

b. Hint: 1 mile = 1760 yards.

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To answer these questions, let's calculate the length of the line formed by the people and determine how many times it would wrap around the Earth.

a. Length of the Line:
We know that there are approximately 7 billion people on Earth, and each person takes about 2 yards of space.

To calculate the length of the line, we need to multiply the number of people by the amount of space each person takes. But first, let's convert yards to miles for consistency.

1 yard = 0.000568182 miles (approximately)

Length of the line = (7 billion people) * (2 yards) * (0.000568182 miles/yard)
= 7,000,000,000 * 2 * 0.000568182 miles
≈ 7,954,546 miles

Therefore, the length of the line formed by the people would be approximately 7,954,546 miles.

b. Wrapping Around the Earth:
The circumference of the Earth is approximately 25,000 miles at the equator. To determine how many times the line of people would wrap around the Earth, we need to divide the length of the line by the Earth's circumference.

Number of times the line wraps around the Earth = (Length of the line) / (Circumference of the Earth)
= 7,954,546 miles / 25,000 miles
≈ 318 times

Therefore, the line formed by the people would wrap around the Earth approximately 318 times.

To answer these questions, we need to perform some calculations. Let's break it down step by step:

a. How long a line would the people form?
Given that each person takes about 2 yards of space, and there are approximately 7 billion people on Earth, we can calculate the total length of the line by multiplying the number of people by the space each person occupies:

Total length = Number of people × Space per person

Total length = 7,000,000,000 × 2 yards

The result will give us the length of the line in yards.

b. How many times would the line of people wrap around the Earth?
To find out how many times the line would wrap around the Earth, we need to compare the length of the line with the circumference of the Earth.

First, we need to convert the circumference of the Earth from miles to yards since the length of the line is in yards. There are 1,760 yards in a mile, so:

Circumference of the Earth = 25,000 miles × 1,760 yards per mile

The result will give us the circumference of the Earth in yards.

Next, we can divide the total length of the line by the circumference of the Earth to find out how many times it would wrap around:

Number of times = Total length / Circumference of the Earth

Now, let's perform the calculations:

a. Total length:
Total length = 7,000,000,000 × 2 = 14,000,000,000 yards

b. Circumference of the Earth:
Circumference of the Earth = 25,000 miles × 1,760 yards per mile = 44,000,000 yards

Now, we can calculate the number of times the line would wrap around the Earth:
Number of times = 14,000,000,000 / 44,000,000 = 318.18 times

Therefore:
a. The line of people would be approximately 14 billion yards long.
b. The line of people would wrap around the Earth approximately 318 times.