The number of feet of pipes they will need to cover 7 miles through the mountains is 38,500 feet
Given:
Length of pipe per mile = 5,500 feet
Ratio of pipe to mile = 5,500 : 1
find pipes needed for 7 miles
let x = number of pipes
Ratio of pipe to mile = x : 7
Equate both ratio
5,500 : 1 = x : 7
5,500/1 = x/7
cross product
5,500 × 7 = 1 × x
38,500 feet = x
Therefore, the number of feet of pipes they will need to cover 7 miles through the mountains is 38,500 feet
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