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In one baseball season, Peter hit twice the difference of the
number of home runs Alice hit and 6. Altogether, they hit
18 home runs. How many home runs did each player hit
that season?

Respuesta :

c62712

Answer:

Alice hit 10 home runs.

Peter hit 8 home runs.

Step-by-step explanation:

Let [tex]p[/tex] be the number of home runs Peter hit.

Let [tex]a[/tex] be the number of home runs Alice hit.

[tex]p=2(a-6)\\a+p=18\\\\a+2(a-6)=18\\a+2a-12=18\\a+2a=30\\3a=30\\a=10\\\\a+p=18\\10+p=18\\p=8\\\\p=2(a-6)\\8=2(10-6)\\8=2(4)\\8=8[/tex]

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