SOLUTION: Two baseball players hit 14 home runs combined last season. The first player hit 5 more home runs than twice the number of home runs the second player hit. How many home runs did e

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Question 956415: Two baseball players hit 14 home runs combined last season. The first player hit 5 more home runs than twice the number of home runs the second player hit. How many home runs did each player hit? I do not understand how to convert this math question from word form to problem form.
Found 2 solutions by stanbon, macston:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Two baseball players hit 14 home runs combined last season. The first player hit 5 more home runs than twice the number of home runs the second player hit. How many home runs did each player hit? I do not understand how to convert this math question from word form to problem form.
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Equation:
a + b = 14 home runs
a = 2b+5
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Substitute for "a" and solve for "b"::
2b+5 + b = 14
3b = 9
b = 3 (# of homeruns hit by "b")
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Solve for "a"::
a + 3 = 14
a = 11 (# of homeruns hit by "a")
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cheers,
Stan H.
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Answer by macston(5194) (Show Source):
You can put this solution on YOUR website!
F=first player's home runs; S=second players home runs
F+S=14 Subtract S from each side.
F=14-S
F=2S+5 Substitute for F.
14-S=2S+5 Add S to each side.
14=3S+5 Subtract 5 from each side.
9=3S Divide each side by 3
3=S ANSWER 1: The second player hit 3 home runs.
F=14-S=14-3=11 ANSWER 2: the first player hit 11 home runs
CHECK:
F=2S+5
11=2(3)+5
11=6+5
11=11