SOLUTION: Another word problem. Again, write the system of equations in two unknowns and solve by the method of your choice. Murray and Max must paint the fence around their home. The fence

Algebra ->  Graphs -> SOLUTION: Another word problem. Again, write the system of equations in two unknowns and solve by the method of your choice. Murray and Max must paint the fence around their home. The fence       Log On


   

Question 304876: Another word problem. Again, write the system of equations in two unknowns and solve by the method of your choice. Murray and Max must paint the fence around their home. The fence is 810 feet long (they have a nice piece of property). Murray agrees to paint 25% more of the fence than Max (He bet on the Knicks). How many feet of fence must each paint?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The fence is 810 feet long.
Murray agrees to paint 25% more of the fence than Max .
How many feet of fence must each paint?
:
Let x = amt of fence painted by Murray
Let y = amt of fence painted by Max
:
"The fence is 810 feet long"
x + y = 810
:
" Murray agrees to paint 25% more of the fence than Max"
x = 1.25y
;
How many feet of fence must each paint?
:
Replace x with (1.25y) in the 1st equation
1.25y + y = 810
2.25y = 810
y = 810%2F2.25
y = 360 ft by Max
then
1.25(360) = 450 ft by Murray
;
:
Check solutions
450 + 360 = 810