Question 162284
First define a couple of variables:
W = # of wins
T = # of ties
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Now, write equations based on the given information. You know that the team won eleven more games then they tied, so you can write:
Equation #1: {{{W=T+11}}}
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You are given that the team had a total of 61 points for the season, and that wins count for twice as much as ties. So you can write:
Equation #2: {{{2W+T=61}}}
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You now have 2 equations with 2 unknowns. Any time you have at least as many equations as unknowns, you can solve the problem!
Substitute the expression for W from Equation #1 into Equation #2:
{{{2(T+11)+T=61}}}
Solve for T:
{{{2T+22+T=61}}}
{{{3T=39}}}
{{{highlight(T=13)}}}
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Put this value of T back into Equation #1 to get the number of wins:
{{{W=13+11}}}
{{{highlight(W=24)}}}
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Good Luck,
tutor_paul@yahoo.com