SOLUTION: A water main for a street is being laid using a particular kind of pipe that comes in either 16-foot sections or 20-foot sections. The designer has determined that the water main w

Question 209611: A water main for a street is being laid using a particular kind of pipe that comes in either 16-foot sections or 20-foot sections. The designer has determined that the water main would require 10 fewer sections of 20-foot pipe than if 16-foot sections were used. Find the total length of the water main.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A water main for a street is being laid using a particular kind of pipe that
comes in either 16-foot sections or 20-foot sections.
The designer has determined that the water main would require 10 fewer sections
of 20-foot pipe than if 16-foot sections were used.
Find the total length of the water main.
:
Let n = number of 20' sections
then
(n+10) = number of 16' sections
:
20n = 16(n+10)
:
20n = 16n + 160
;
20n - 16n = 160
:
4n = 160
n =
n = 40 ea 20'sections
:
Find the total length of the water main: 40 * 20 = 800ft
;
;
Check solution
800 = 16(40+10)
800 = 16 * 50
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