Question

Of the $45$ countries in Europe, $7$ get $100$% of their natural gas from Russia, and $6$ get $50$% of their natural gas from Russia. If $25$% of all the natural gas imported into Europe comes from Russia, what is the average percent of imported natural gas from Russia for the remaining countries in Europe?

• A. $3.9$%
• B. $20$%
• C. $25$%
• D. $75$%
• E. $78.1$%

Answer 1

Answer: (A)

$25\%$ of gas used by all $45$ country imported from Russia.

$7$ country get $100\%$ natural gas from Russia.

$6$ country get $50\%$ of natural gas from Russia.

Remaining country=$45-7-6=32$

Let $x\%$ is uses by remaining $32$ country.

$\therefore \frac{7\left(1\right)+5\left(.5\right)+32x}{45}=25\%$

$\Rightarrow \frac{7+3.0+32x}{45}=.25$

$\Rightarrow 10+32x=11.25$

$\Rightarrow 32x=11.25-10$

$\Rightarrow 32x=1.25$

$\Rightarrow x=\frac{1.25}{32}=.0390$

Then average percent of imported natural gas from Russia for the remaining countries in Europe is $3.9\%$.