SOLUTION: In the 2004 Summer Olympics in Athens, Greece, the USA earned 6 more gold medals than bronze. The number of silver medals earned was 19 less than twice the number of bronze medals.
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Question 451599: In the 2004 Summer Olympics in Athens, Greece, the USA earned 6 more gold medals than bronze. The number of silver medals earned was 19 less than twice the number of bronze medals. The USA earned a total of 103 medals. How many of each kind of medal did the USA earn?
I have worked on this for hours, and my mind has now gone blank. Can you please help? Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! In the 2004 Summer Olympics in Athens, Greece, the USA earned 6 more gold medals than bronze. The number of silver medals earned was 19 less than twice the number of bronze medals. The USA earned a total of 103 medals. How many of each kind of medal did the USA earn?
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G = B + 6 (6 more Gold than Bronze)
S = 2B - 19
G + S + B = 103
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Sub for S in the 3rd eqn
G + (2B-19) + B = 103
G + 3B = 122
Sub eqn 1 for G
B+6 + 3B = 122
4B = 116
B = 29
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S = 2B - 19
S = 39
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G = 35
