Question 1203159
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At the Winter Olympics in Lillehammer, Norway, the number of gold medals Canada won 
was half the number of silver medals. 
Canada won 3 silver medals for every 2 bronze medals it won. 
The total number of gold and bronze medals was one more than the number of silver medals.
How many medals of each type did Canada win?
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<pre>
x = # of gold medals;

2x = # of silver medals;

{{{silver/bronze}}} = {{{3/2}}}, which means bronze = {{{(2*silver)/3}}} = {{{(2*(2x))/3}}} = {{{(4x)/3}}}.


    gold + bronze = silver + 1,

or

    x + {{{(4x)/3}}} = 2x + 1.


Simplify and find x.  First multiply both sides by 3

    3x + 4x = 6x + 3

    7x = 6x + 3

    7x - 6x = 3

       x    = 3.


<U>ANSWER</U>.  3 gold medals; 2*3 = 6 silver medals;  {{{(4*3)/3}}} = 4 bronze medals.
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Solved.