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Bobette is an excellent athlete. In school she competed in lacrosse, soccer, softball, and tennis. She won 6 more awards in lacrosse than in

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Bobette is an excellent athlete. In school she competed in lacrosse, soccer, softball, and tennis. She won 6 more awards in lacrosse than in soccer. She won 1 more award in soccer than in softball. She won 3 more awards in tennis than in softball. Out of her 31 awards, how many did she get in tennis.

Guest Oct 8, 2014

#1
+92368
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Let n be the number of awards she won in softball

Then the number of awards in tennis was n + 3

And the number of awards in soccer was n + 1

And the total awards in lacrosse was 6 more than soccer = (n + 1) + 6

So the total number of awards is given by

n + (n + 3) + (n + 1) + (n + 1) + 6 = 31         simplify this

4n + 11 = 31       subtract 11 from both sides

4n = 20               divide both sides by 4

n = 5

And the number she won in tennis was (n + 3) = (5 + 3) = 8

CPhill  Oct 8, 2014
#1
+92368
+5

Let n be the number of awards she won in softball

Then the number of awards in tennis was n + 3

And the number of awards in soccer was n + 1

And the total awards in lacrosse was 6 more than soccer = (n + 1) + 6

So the total number of awards is given by

n + (n + 3) + (n + 1) + (n + 1) + 6 = 31         simplify this

4n + 11 = 31       subtract 11 from both sides

4n = 20               divide both sides by 4

n = 5

And the number she won in tennis was (n + 3) = (5 + 3) = 8

CPhill  Oct 8, 2014