SOLUTION: A piece of cloth costs 200 us. if the price was 5 meter longer, and the cost of each meter of cloth was 2 us less, the cost of the piece would have remained unchanged. how long is
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Question 550155: A piece of cloth costs 200 us. if the price was 5 meter longer, and the cost of each meter of cloth was 2 us less, the cost of the piece would have remained unchanged. how long is the piece and what is its original price per meter?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the original length in meters
= original cost/meter
= the new cost/meter
us
Subtract from both sides
Multiply both sides by
Use the quadratic formula
( can't use the (-) square root )
The piece is 20 m long
The original price/m is 10 us
check answers:
OK
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A piece of cloth costs 200 us. if the cloth was 5 meter longer, and the cost of each meter of cloth was 2 us less, the cost of the piece would have remained unchanged. how long is the piece and what is its original price per meter?
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Let original length of cloth be x meters.
---
Original cost per meter = 200/x us
-----
New length of cloth = x+5 meters
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New cost per meter: [200/(x+5) - 2] us
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New cost of the cloth = [200/(x+5) - 2]*(x+5) = 200
------
Equation:
[200/(x+5) - 2]*(x+5) = 200
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200 - 2(x+5)^2 = 200(x+5)
--
100 - (x+5)^2 = 2x+10
---
100-[x^2+10x+25] = 2x+10
100-x^2-10x-25 = 2x+10
x^2+12x-65 = 0
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x = [-12 +- sqrt(144-4*-65)]/2
---
Positive solution:
x = 4.05
----
Original price per meter = 200/x = $49.38
===========================================
Cheers,
Stan H.
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