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# An antiques dealer bought c antique chairs for a total of x

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An antiques dealer bought c antique chairs for a total of x [#permalink]  24 May 2019, 01:59
Expert's post
An antiques dealer bought c antique chairs for a total of x dollars. The dealer sold each chair for y dollars.

(a) Write an algebraic expression for the proﬁt, P, earned from buying and selling the chairs.

(b) Write an algebraic expression for the proﬁt per chair.

[Reveal] Spoiler: OA
(a) $$P=cy−x$$ (b) Profit per chair: $$\frac{P}{c} = \frac{cy-x}{c} = y - \frac{c}{x}$$

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Difficulty: medium

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Re: An antiques dealer bought c antique chairs for a total of x [#permalink]  25 May 2019, 04:37
Expert's post
Carcass wrote:
An antiques dealer bought c antique chairs for a total of x dollars. The dealer sold each chair for y dollars.

(a) Write an algebraic expression for the proﬁt, P, earned from buying and selling the chairs.

(b) Write an algebraic expression for the proﬁt per chair.

[Reveal] Spoiler: OA
(a) $$P=cy−x$$ (b) Profit per chair: $$\frac{P}{c} = \frac{cy-x}{c} = y - \frac{c}{x}$$

An antiques dealer bought c antique chairs for a total of x dollars. The dealer sold each chair for y dollars

revenue = (number of items sold)(price per item)

The dealer sold c chairs, and each chair sold for y dollars
So, revenue = cy
Expenses = x (the dealer paid x dollars for the chairs)

(a) Write an algebraic expression for the proﬁt, P, earned from buying and selling the chairs.
P = cy - x

(b) Write an algebraic expression for the proﬁt per chair.
If the TOTAL profit = cy - x,
then the profit per chair = $$\frac{cy - x}{c}$$

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: An antiques dealer bought c antique chairs for a total of x   [#permalink] 25 May 2019, 04:37
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