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An electricity distribution company charges its customers at the rate

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An electricity distribution company charges its customers at the rate  [#permalink]

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New post 29 Oct 2018, 03:54
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Question Stats:

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An electricity distribution company charges its customers at the rate of $x per unit for the first 200 units a customer consumes in a month and charges at the rate of $y per unit for the additional units over 200 units. What would be the charge for a customer who consumes 200 units in a month?

(1) y = 1.25x
(2) If a customer consumes 210 units in a month, the company would charge $425.

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Re: An electricity distribution company charges its customers at the rate  [#permalink]

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New post 29 Oct 2018, 04:24
Bunuel wrote:
An electricity distribution company charges its customers at the rate of $x per unit for the first 200 units a customer consumes in a month and charges at the rate of $y per unit for the additional units over 200 units. What would be the charge for a customer who consumes 200 units in a month?

(1) y = 1.25x
(2) If a customer consumes 210 units in a month, the company would charge $425.


To help understand the question stem, we'll break it into equations.
This is a Precise approach.

So the total charge is equal to x*200 + y*(total units - 200)
Since we only care about 200 units, then we only care about x*200, where x is the rate for the first 200 units
(1) does not let us solve for x.
Insufficient.

(2) translates into 200x+10y = 425, also insufficient to solve for x.

Combined.
2 equations with 2 variables - enough!
Sufficient.

(C) is our answer.
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Re: An electricity distribution company charges its customers at the rate &nbs [#permalink] 29 Oct 2018, 04:24
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