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Peter has 12 marbles.Ravi has 8 more marbles than Peter and 6 fewer marbles than Roslan.Find the ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has.Please leave your answer in the simplest form.

Question

Peter has 12 marbles.Ravi has 8 more marbles than Peter and 6 fewer marbles than Roslan.Find the ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has.Please leave your answer in the simplest form.

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Solution

First, let's find out how many marbles each person has:

  1. Peter has 12 marbles.
  2. Ravi has 8 more marbles than Peter, so Ravi has 12 + 8 = 20 marbles.
  3. Roslan has 6 more marbles than Ravi, so Roslan has 20 + 6 = 26 marbles.

Now, let's find the ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has:

  • The ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has is 12 : 20 : 26.

To simplify this ratio, we find the greatest common divisor (GCD) of 12, 20, and 26. The GCD of these numbers is 2.

So, we divide each part of the ratio by the GCD:

  • 12 ÷ 2 = 6
  • 20 ÷ 2 = 10
  • 26 ÷ 2 = 13

Therefore, the simplified ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has is 6 : 10 : 13.

This problem has been solved

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