Answer :
To divide 169 miles in the ratio 5:8, calculate the miles per part by dividing 169 by the sum of the ratio parts (13), resulting in 13 miles per part. Multiply this by 5 for the first part and by 8 for the second part, getting 65 miles and 104 miles respectively.
To divide 169 miles in the ratio 5 : 8, we first need to understand that the total parts in the ratio is 5 + 8 = 13 parts. Then, we will divide the total distance, 169 miles, by the total number of parts, which gives us the distance for one part:
169 mi ÷ 13 = 13 mi per part.
Next, to find the distances for each part of the ratio, we multiply the miles per part by the number of parts for each segment of the ratio:
For the first part of the ratio (5 parts):
13 mi × 5 = 65 mi
For the second part of the ratio (8 parts):
13 mi × 8 = 104 mi
Therefore, 169 miles divided in the ratio 5 : 8 gives us 65 miles and 104 miles for each part of the ratio respectively.
