Peter has 8 marbles.Ravi has 16 more marbles than Peter and 4 fewer marbles than Roslan.Fine 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 8 marbles.Ravi has 16 more marbles than Peter and 4 fewer marbles than Roslan.Fine 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. : :
Solution 1
Step 1: Identify the number of marbles each person has.
Peter has 8 marbles.
Ravi has 16 more marbles than Peter, so Ravi has 8 + 16 = 24 marbles.
Roslan has 4 more marbles than Ravi, so Roslan has 24 + 4 = 28 marbles.
Step 2: Find the ratio.
The ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has is 8:24:28.
Step 3: Simplify the ratio.
To simplify the ratio, we find the greatest common divisor (GCD) of 8, 24, and 28. The GCD is 4.
So, we divide each number by 4 to get the simplest form of the ratio.
8 ÷ 4 : 24 ÷ 4 : 28 ÷ 4 = 2:6:7.
So, the ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has in the simplest form is 2:6:7.
Solution 2
Step 1: Identify the number of marbles each person has.
Peter has 8 marbles.
Ravi has 16 more marbles than Peter, so Ravi has 8 + 16 = 24 marbles.
Roslan has 4 more marbles than Ravi, so Roslan has 24 + 4 = 28 marbles.
Step 2: Find the ratio.
The ratio of the number of marbles Peter has to the number of marbles Ravi has to the number of marbles Roslan has is 8:24:28.
Step 3: Simplify the ratio.
To simplify the ratio, we find the greatest common divisor (GCD) of 8, 24, and 28. The GCD is 4.
So, we divide each number by 4 to get the simplest form of the ratio.
8 ÷ 4 = 2 24 ÷ 4 = 6 28 ÷ 4 = 7
Therefore, the simplest form of the ratio is 2:6:7.
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