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# If apples cost x dollars per m dozen, how many dollars will it cost to

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Math Expert
Joined: 02 Sep 2009
Posts: 50078
If apples cost x dollars per m dozen, how many dollars will it cost to  [#permalink]

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15 Aug 2016, 03:58
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Difficulty:

25% (medium)

Question Stats:

71% (01:07) correct 29% (01:43) wrong based on 55 sessions

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If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples?

A. xn/(12m)
B. xn/m
C. m/(xn)
D. 12m/(xn)
E. 12mn/x

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If apples cost x dollars per m dozen, how many dollars will it cost to  [#permalink]

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15 Aug 2016, 04:17
Bunuel wrote:
If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples?

A. xn/(12m)
B. xn/m
C. m/(xn)
D. 12m/(xn)
E. 12mn/x

I tried in this way.... let it 2 dollars for 2 dozens(24) and we are asked to find the value n apples...let n be 4...

In order to buy 24 apples it took 2 dollars...then for 4 apples it'll take 4*2/12*2 = 1/3.. i.e. n*x/12*m.

IMO option A is correct answer...

OA please will correct if I missed anything...
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Re: If apples cost x dollars per m dozen, how many dollars will it cost to  [#permalink]

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29 Nov 2017, 21:37
Hi All,

We're told that apples cost X dollars per M dozen. We're asked for the cost (in dollars) to buy N apples. This question can be solved by TESTing VALUES.

To start, a 'dozen' is 12, so it would make sense to choose a value for X that is a multiple of 12....

IF....
X=12 and M=2
We're spending \$12 to buy (2)(12) = 24 apples, which gives us a cost of \$0.50/apple

N = 4
Thus, the cost of 4 apples is (4)(\$0.50) = \$2. Thus, we're looking for an answer that equals 2 when we plug X=12, M=2 and N=4 into the answers. There's only one answer that matches...

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Re: If apples cost x dollars per m dozen, how many dollars will it cost to  [#permalink]

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04 Dec 2017, 11:36
Bunuel wrote:
If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples?

A. xn/(12m)
B. xn/m
C. m/(xn)
D. 12m/(xn)
E. 12mn/x

The cost of apples is x/m dollars/dozen or x/(12m) dollars/apple.

Since cost = unit price x quantity, n apples will cost x/(12m) * n = xn/(12m).

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Re: If apples cost x dollars per m dozen, how many dollars will it cost to &nbs [#permalink] 04 Dec 2017, 11:36
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