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.

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?
------------------
G = B + 6 (6 more Gold than Bronze)
S = 2B - 19
G + S + B = 103
-------------------
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
-------
S = 2B - 19
S = 39
------
G = 35

RELATED QUESTIONS
At the Winter Olympics in Lillehammer, Norway, the number of gold medals Canada won was... (answered by ikleyn)

The United States earned 104 medals at the 2012 Summer Olympics. The number of silver... (answered by rothauserc)

The USA won 103 medals. The number of silver medals earned was 4 more than the gold... (answered by haileytucki)

In the 2004 summer olympics, the United states team won 3 more gold medals than the... (answered by Mathtut)

in the 2016 summer olympic, host brazil earned 1 more gold medal than silver. the number... (answered by greenestamps)

Please help me with this problem: In the Olympics, the Canadian team won a total of 22... (answered by stanbon)

Please help me solve this problem: China earned a total of 100 medals at the 2008... (answered by scott8148)

in 2004 summer olympics in athens, Thiland won half as many medals as greece. If they won (answered by CubeyThePenguin)

In the 2004 summer Olympics, France won more gold medals than Italy, who won more gold... (answered by checkley71)