loredanamorra loredanamorra
  • 25-10-2016
  • Mathematics
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Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter?

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twvogels
twvogels twvogels
  • 25-10-2016
Call the number of rocks that Phil has "[tex]L[/tex]" and the number Peter had "[tex]R[/tex]".

We know that:
[tex]L=3R[/tex] and [tex]L+R=48[/tex]

Now solve by back substitution:
[tex]3R+R=48[/tex] therefore [tex]R=12[/tex] and thus [tex]L=3R=36[/tex]

Check:
[tex]L+R=12+36=48[/tex]  CHECKS
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