- Thu Aug 07, 2014 5:23 pm
#15755
Hello, reop,
You got a little tangled up in your math, there. But it's fine. Questions like this can easily get confusing.
The trick is that total coal supplies decreased from 1990 to 1991. The statement about there being no imports or exports is to ensure that the only things affecting the coal supply are coal mined and coal used within Country Q. Let's do some numbers:
Total coal in 1990: 20,000 tons
Total coal in 1991: 10,000 tons
10,000 tons is "considerably lower" than 20,000 tons, I'd say! What this means is, combined with the statement of no imports or exports:
Total 1990 coal + total coal mined in 1991 - total coal consumed in 1991 > total 1991 coal
Adding in numbers:
20,000 + total coal mined in 1991 - total coal consumed in 1991 > 10,000
Simplifying:
Total coal mined in 1991 - total coal consumed in 1991 > -10,000
This means that the total coal consumed in 1991 must be greater than the total coal mined in 1991. Whether it's 10,000 tons or any number, the answer is the same. If the total coal consumed in 1991 was equal to or less than the total coal mined in 1991, then there wouldn't be less total coal supplies in 1991 than in 1990, which there were.
Hope that helps,
Lucas Moreau
You got a little tangled up in your math, there. But it's fine. Questions like this can easily get confusing.
The trick is that total coal supplies decreased from 1990 to 1991. The statement about there being no imports or exports is to ensure that the only things affecting the coal supply are coal mined and coal used within Country Q. Let's do some numbers:
Total coal in 1990: 20,000 tons
Total coal in 1991: 10,000 tons
10,000 tons is "considerably lower" than 20,000 tons, I'd say! What this means is, combined with the statement of no imports or exports:
Total 1990 coal + total coal mined in 1991 - total coal consumed in 1991 > total 1991 coal
Adding in numbers:
20,000 + total coal mined in 1991 - total coal consumed in 1991 > 10,000
Simplifying:
Total coal mined in 1991 - total coal consumed in 1991 > -10,000
This means that the total coal consumed in 1991 must be greater than the total coal mined in 1991. Whether it's 10,000 tons or any number, the answer is the same. If the total coal consumed in 1991 was equal to or less than the total coal mined in 1991, then there wouldn't be less total coal supplies in 1991 than in 1990, which there were.
Hope that helps,
Lucas Moreau