SOLUTION: the length of hose #1 is 20 feet less than 4 times #2 hose the combined length of the two is 380 feet

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Question 657711: the length of hose #1 is 20 feet less than 4 times #2 hose the combined length of the two is 380 feet
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the length of hose #1 is 20ft less than 4 times #2 hose:
let's #1=x and #2=y
:
x%2By=380ft........2
___________________________
x%2B20ft=4y .......1
x%2By=380ft........2
___________________________solve this system, subtract 2 from 1
x%2B20ft-%28x%2By%29=4y-380ft
x%2B20ft-x-y=4y-380ft
20ft-y=4y-380ft
20ft%2B380ft=4y%2By
400ft=5y
400ft%2F5=y
y=highlight%2880ft%29
now find x
x%2By=380ft
x=380ft-y
x=380ft-80ft
x=highlight%28300ft%29