SOLUTION: In a game, Abby scores 11 more points than Bob. Abby also scores 5 fewer points than Jen. Together, all three people score 87 points. How many points does Abby score?

SOLUTION: In a game, Abby scores 11 more points than Bob. Abby also scores 5 fewer points than Jen. Together, all three people score 87 points. How many points does Abby score?

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Question 1023212: In a game, Abby scores 11 more points than Bob. Abby also scores 5 fewer points than Jen. Together, all three people score 87 points. How many points does Abby score?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call their scores a, b, and j. We can write
a = b + 11 (or b = a - 11)
a = j - 5 (or j = a + 5)
a + b + j = 87
Now substitute and get
a + (a-11) + (a+5) = 87
3a - 6 = 87
3a = 93
a = 31 points
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