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The total cost of 8 bagels at a bakery is x dollars. At this cost per

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Bunuel
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The total cost of 8 bagels at a bakery is x dollars. At this cost per [#permalink] New post   23 May 2018, 06:54
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The total cost of 8 bagels at a bakery is x dollars. At this cost per bagel, which of the following represents the total cost, in dollars, of y bagels?


A. \(\frac{8}{xy}\)

B. \(\frac{8x}{y}\)

C. \(\frac{8y}{x}\)

D. \(\frac{xy}{8}\)

E. \(\frac{x}{8y}\)
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D
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Re: The total cost of 8 bagels at a bakery is x dollars. At this cost per [#permalink] New post   23 May 2018, 06:59
Bunuel wrote:
The total cost of 8 bagels at a bakery is x dollars. At this cost per bagel, which of the following represents the total cost, in dollars, of y bagels?


A. \(\frac{8}{xy}\)

B. \(\frac{8x}{y}\)

C. \(\frac{8y}{x}\)

D. \(\frac{xy}{8}\)

E. \(\frac{x}{8y}\)



Given that : \(8\) bagels costs \(x\) dollars
hence , \(1\) bagel costs \(\frac{x}{8}\) dollars
Hence , \(y\) bagels costs \(\frac{x}{8}*y\) dollars ........ i.e \(\frac{xy}{8}\)
Hence I would go for option D.
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Re: The total cost of 8 bagels at a bakery is x dollars. At this cost per [#permalink] New post   23 May 2018, 08:23
Bunuel wrote:
The total cost of 8 bagels at a bakery is x dollars. At this cost per bagel, which of the following represents the total cost, in dollars, of y bagels?


A. \(\frac{8}{xy}\)

B. \(\frac{8x}{y}\)

C. \(\frac{8y}{x}\)

D. \(\frac{xy}{8}\)

E. \(\frac{x}{8y}\)
Cost of 1 bagel = \(\frac{x}{8}\)

Cost of y bagels = \(\frac{xy}{8}\)

So, The total cost of y bagels is (D) \(\frac{xy}{8}\)
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Re: The total cost of 8 bagels at a bakery is x dollars. At this cost per [#permalink] New post   24 May 2018, 17:35
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Bunuel wrote:
The total cost of 8 bagels at a bakery is x dollars. At this cost per bagel, which of the following represents the total cost, in dollars, of y bagels?


A. \(\frac{8}{xy}\)

B. \(\frac{8x}{y}\)

C. \(\frac{8y}{x}\)

D. \(\frac{xy}{8}\)

E. \(\frac{x}{8y}\)


Solution:

The cost per bagel is x/8, so the cost for y bagels is xy/8.

Alternate Solution:

We can set up the following proportion, letting d = the cost of the y bagels.:

x/8 = d/y

xy/8 = d

Answer: D
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Re: The total cost of 8 bagels at a bakery is x dollars. At this cost per [#permalink]
24 May 2018, 17:35
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