SOLUTION: Please help me with this problem: In the Olympics, the Canadian team won a total of 22 medals, consisting of gold, silver, and bronze. There were five fewer gold medals than bron

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me with this problem: In the Olympics, the Canadian team won a total of 22 medals, consisting of gold, silver, and bronze. There were five fewer gold medals than bron      Log On

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Question 181964: Please help me with this problem:
In the Olympics, the Canadian team won a total of 22 medals, consisting of gold, silver, and bronze. There were five fewer gold medals than bronze, and 3 fewer bronze than silver medals. How many gold, silver, and bronze medals did Canada win?
Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
In the Olympics, the Canadian team won a total of 22 medals, consisting of gold, silver, and bronze. There were five fewer gold medals than bronze, and 3 fewer bronze than silver medals. How many gold, silver, and bronze medals did Canada win?
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g + s + b = 22
g = b-5
b = s-3
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Rearrange #3:
s = b+3
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Substitute for s and for g in #1 to get:
(b-5) + (b+3) + b = 22
3b -2 = 22
3b = 24
b = 8 (# of bronze medals)
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Then g = b-5 = 8-5 = 3 (# of gold medals)
and s + b+3 = 8+3 = 11 (# of silver medals)
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Cheers,
Stan H.