SOLUTION: The percentage of global energy used by China exceeds Russia by 6% and the percentage of global energy used by the United States exceeds Russia by 16.4%. Combined the U.S., China

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Question 188573This question is from textbook Thinking Mathematically
: The percentage of global energy used by China exceeds Russia by 6% and the percentage of global energy used by the United States exceeds Russia by 16.4%. Combined the U.S., China, and Russia consume 40.4% of the world's energy. Determine the percentage of global energy used by each country.
Thanks for any help you can give me on this. I've been rereading and rereading problem and can't think of how to do it. This question is from textbook Thinking Mathematically

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c= the percentage of global energy used by China
Let r= the percentage of global energy used by Russia
Let u= the percentage of global energy used by United States
given:
(1) c+=+r+%2B+.06
(2) u+=+r+%2B+.164
(3) c+%2B+r+%2B+u+=+.404
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Substitute (1) and (2) in (3)
r+%2B+.06+%2B+r+%2B+r+%2B+.164+=+.404
3r+=+.404+-+.17
3r+=+.234
r+=+.078
And, from (1)
(1) c+=+r+%2B+.06
That's all I have time for