Question

If ANWR (the Arctic National Wildlife Refuge) yields a projected peak amount of approximately 330 million gallons of oil per year and the United States uses roughly 110 billion gallons of oil per year, what percent of the oil used per year in the United States would ANWR provide?

Answer 1

Answer:

ANWR would provide 0.3% of the oil used per year in the United States.

Step-by-step explanation:  

We need to know that the ANWR "yields a projected peak amount of approximately 330 million gallons of oil per year", and the United States uses roughly 110 billion gallons of oil per year.

We also need to remember that a million and a billion can be expressed respectively as follows:

$1\;million = 1000000 = 10^{6}$

$1\;billion = 1000000000 = 10^{9}$

So, we can mathematically describe all this as:

$ANWR_{proj\;oil}= 330*1000000 = 330*10^{6}\frac{gallons\;of\;oil}{year}.$

$USA_{oil\;demand}= 110*1000000000 = 110*10^{9}\frac{gallons\;of\;oil}{year}.$

Thus, the "percent of the oil used per year in the United States" that ANWR would provide, is the ratio of both values multiplied by 100.

Then

$\\Percentage_{ANWR}=\frac{ANWR_{proj\;oil}}{USA_{oil\;demand}}*100$

$Percentage_{ANWR}=\frac{330*10^{6}\frac{gallons\;of\;oil}{year}}{110*10^{9}\frac{gallons\;of\;oil}{year}}*100$

$Percentage_{ANWR}=\frac{330*10^{6}}{110*10^{9}} *100$

$Percentage_{ANWR}=\frac{330}{110}\frac{10^{6}}{10^{9}} *100$

$Percentage_{ANWR}=3\frac{10^{6}}{10^{9}} *100$

$Percentage_{ANWR}=3\frac{10^{6}}{10^{9}} \frac{10^{-9}}{10^{-9}}*100$

$Percentage_{ANWR}=3\frac{10^{6}*10^{-9}}{10^{9}*10^{-9}}*100$

$\\ Percentage_{ANWR}=3*\frac{10^{6-9}}{10^{9-9}}*100$

$\\ Percentage_{ANWR}=3*\frac{10^{-3}}{1}*100$

$Percentage_{ANWR}=3*10^{-3}*100$

$Percentage_{ANWR}=\frac{3}{10^{3}}*100$

$Percentage_{ANWR}=\frac{3}{1000}*100$

$Percentage_{ANWR}=3*\frac{100}{1000}$

$Percentage_{ANWR}=3*\frac{1}{10}$

$Percentage_{ANWR}=0.3\%$

Then, the percent of the oil used per year in the United States that ANWR would provide is only 0.3% of the annual demand for United States.