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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] New post 24 May 2019, 01:59
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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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Re: An antiques dealer bought c antique chairs for a total of x [#permalink] New post 25 May 2019, 04:37
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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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Re: An antiques dealer bought c antique chairs for a total of x   [#permalink] 25 May 2019, 04:37
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