In one baseball season, peter hit twice the difference of the number of home runs Alice hit and 9. Altogether they hit 27 home runs. How many runs did each player hit that season? Let h represents Alice's home runs
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Answer:
The answer is 15 and 12.
Step-by-step explanation:
Alice hit x home runs.
Peter hit twice the difference of the number of home runs Alice hit and 9, so he hit 2(x-9) home runs.
Altogether they hit 27 home runs.
x + 2(x-9) = 27
x + 2x - 18 = 27
x + 2x = 27 + 18
3x = 45
x = 45/3
x = 15 The number of home runs Alice hits.
The number of home runs Peter hits.
2(x-9) = 2(15-9) = 2 . 6 = 12
Alice hit 10 home runs, Peter hit 8 home runs.
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