Answer :
Certainly! Let's divide 161 miles in the ratio of 6:1. We'll go through it step-by-step:
1. Understanding the Ratio:
- The ratio 6:1 means we are dividing the total distance into two parts where the first part is 6 times the second part.
2. Sum of the Ratio Parts:
- Add the parts of the ratio together: \( 6 + 1 = 7 \).
3. Calculate the Value of One Part:
- Divide the total distance by the sum of the ratio parts: \( 161 \div 7 = 23 \).
- This means each part of the ratio corresponds to 23 miles.
4. Determine the Miles for Each Part:
- For the first part (which is 6 parts): Multiply \( 23 \times 6 = 138 \) miles.
- For the second part (which is 1 part): \( 23 \times 1 = 23 \) miles.
Therefore, when you divide 161 miles in the ratio of 6:1, you get:
- The first part: 138 miles
- The second part: 23 miles
1. Understanding the Ratio:
- The ratio 6:1 means we are dividing the total distance into two parts where the first part is 6 times the second part.
2. Sum of the Ratio Parts:
- Add the parts of the ratio together: \( 6 + 1 = 7 \).
3. Calculate the Value of One Part:
- Divide the total distance by the sum of the ratio parts: \( 161 \div 7 = 23 \).
- This means each part of the ratio corresponds to 23 miles.
4. Determine the Miles for Each Part:
- For the first part (which is 6 parts): Multiply \( 23 \times 6 = 138 \) miles.
- For the second part (which is 1 part): \( 23 \times 1 = 23 \) miles.
Therefore, when you divide 161 miles in the ratio of 6:1, you get:
- The first part: 138 miles
- The second part: 23 miles
