A pole is painted white, orange, and purple in the ratio 6:2:1. The section of the pole that is painted white is 30 inches long. What is the length of the pole?
6:2:1 = 30:10:5
so the pole is 30+10+5 = 45 inches long
To find the length of the pole, we need to understand the ratio of the white, orange, and purple sections of the pole.
The given ratio is 6:2:1, which means that for every 6 parts of white paint, there are 2 parts of orange paint and 1 part of purple paint.
Since we know the length of the white section is 30 inches, we can use this information to determine the length of 1 part of the white paint.
Length of 1 part of white paint = Length of white section / Number of parts in the ratio
Length of 1 part of white paint = 30 inches / 6 parts = 5 inches
Now, we can find the total length of the pole by multiplying the length of 1 part of white paint by the total number of parts in the ratio.
Total length of the pole = Length of 1 part of white paint * Total number of parts in the ratio
Total length of the pole = 5 inches * (6+2+1) parts
Total length of the pole = 5 inches * 9 parts
Total length of the pole = 45 inches
Therefore, the length of the pole is 45 inches.
white 5 5 5 5 5 5
orange 5 5
purple 5
30 / 6 = 5
9 * 5 = 45 inches
I counted all the fives I did not add them I counted all of them and there were 9 of them so thats how I got 9.