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Answer :
Let's divide the given numbers according to the specified ratios. Here is a step-by-step explanation for each part of the question:
a) Divide 125 in the ratio 2:3:
1. First, add the parts of the ratio together. In this case, 2 + 3 = 5.
2. To find the first part: calculate [tex]\( \frac{2}{5} \)[/tex] of 125. This means you multiply 125 by [tex]\( \frac{2}{5} \)[/tex].
3. This results in 50 for the first part.
4. To find the second part: calculate [tex]\( \frac{3}{5} \)[/tex] of 125. Multiply 125 by [tex]\( \frac{3}{5} \)[/tex].
5. This results in 75 for the second part.
Therefore, 125 divided in the ratio 2:3 results in 50 and 75.
b) Divide 36 in the ratio 1:2:
1. Add the parts of the ratio: 1 + 2 = 3.
2. For the first part, calculate [tex]\( \frac{1}{3} \)[/tex] of 36. Multiply 36 by [tex]\( \frac{1}{3} \)[/tex].
3. This gives you 12 for the first part.
4. For the second part, calculate [tex]\( \frac{2}{3} \)[/tex] of 36. Multiply 36 by [tex]\( \frac{2}{3} \)[/tex].
5. This gives you 24 for the second part.
Therefore, 36 divided in the ratio 1:2 results in 12 and 24.
c) Divide 84 in the ratio 1:1:
1. Add the parts of the ratio: 1 + 1 = 2.
2. For the first part, calculate [tex]\( \frac{1}{2} \)[/tex] of 84. Multiply 84 by [tex]\( \frac{1}{2} \)[/tex].
3. This gives you 42 for the first part.
4. For the second part, it's also [tex]\( \frac{1}{2} \)[/tex] of 84, which also gives you 42 for the second part.
Therefore, 84 divided in the ratio 1:1 results in 42 and 42.
These are the values obtained from dividing the given numbers in the specified ratios:
- 125 in the ratio 2:3 results in 50 and 75.
- 36 in the ratio 1:2 results in 12 and 24.
- 84 in the ratio 1:1 results in 42 and 42.
a) Divide 125 in the ratio 2:3:
1. First, add the parts of the ratio together. In this case, 2 + 3 = 5.
2. To find the first part: calculate [tex]\( \frac{2}{5} \)[/tex] of 125. This means you multiply 125 by [tex]\( \frac{2}{5} \)[/tex].
3. This results in 50 for the first part.
4. To find the second part: calculate [tex]\( \frac{3}{5} \)[/tex] of 125. Multiply 125 by [tex]\( \frac{3}{5} \)[/tex].
5. This results in 75 for the second part.
Therefore, 125 divided in the ratio 2:3 results in 50 and 75.
b) Divide 36 in the ratio 1:2:
1. Add the parts of the ratio: 1 + 2 = 3.
2. For the first part, calculate [tex]\( \frac{1}{3} \)[/tex] of 36. Multiply 36 by [tex]\( \frac{1}{3} \)[/tex].
3. This gives you 12 for the first part.
4. For the second part, calculate [tex]\( \frac{2}{3} \)[/tex] of 36. Multiply 36 by [tex]\( \frac{2}{3} \)[/tex].
5. This gives you 24 for the second part.
Therefore, 36 divided in the ratio 1:2 results in 12 and 24.
c) Divide 84 in the ratio 1:1:
1. Add the parts of the ratio: 1 + 1 = 2.
2. For the first part, calculate [tex]\( \frac{1}{2} \)[/tex] of 84. Multiply 84 by [tex]\( \frac{1}{2} \)[/tex].
3. This gives you 42 for the first part.
4. For the second part, it's also [tex]\( \frac{1}{2} \)[/tex] of 84, which also gives you 42 for the second part.
Therefore, 84 divided in the ratio 1:1 results in 42 and 42.
These are the values obtained from dividing the given numbers in the specified ratios:
- 125 in the ratio 2:3 results in 50 and 75.
- 36 in the ratio 1:2 results in 12 and 24.
- 84 in the ratio 1:1 results in 42 and 42.
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