SOLUTION: darren and doug must paint the 792 foot fence that encircles thier family home. because darren is older, he has agreed to paint 20% more than darren. how much of the fence will eac

Question 257214: darren and doug must paint the 792 foot fence that encircles thier family home. because darren is older, he has agreed to paint 20% more than darren. how much of the fence will each boy Paint?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
darren and doug must paint the 792 foot fence that encircles thier family home. because darren is older, he has agreed to paint 20% more than darren. how much of the fence will each boy Paint?
.
Let x = length Doug will paint
then
x + .2x = length Darren will paint
.
x + (x+.2x) = 792
x + x + .2x = 792
2.2x = 792
x = 792/2.2
x = 360 feet (Doug)
.
Darren:
x + .2x = x(1+.2) = 1.2x = 1.2(360) = 432 feet

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