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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24-10-2016
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 · Answer 1 · 2016-10-24T18:30:38-04:00

twvogels twvogels

24-10-2016

Call the number of rocks that Phil has "\(L\)" and the number Peter had "\(R\)".

We know that:
\(L=3R\) and \(L+R=48\)

Now solve by back substitution:
\(3R+R=48\) therefore \(R=12\) and thus \(L=3R=36\)

Check:
\(L+R=12+36=48\) CHECKS

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