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GRE Prep Club Legend  Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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GRE Math Challenge #31-hot dog costs twice as much as a soda [#permalink]
Expert's post 00:00

Question Stats: 44% (01:56) correct 55% (02:58) wrong based on 18 sessions
A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dollars, how many cents does soda costs?

A. $$\frac{100d}{(s +2h)}$$

B. $$\frac{(s + 2h)}{100d}$$

C. $$\frac{d(s +2h)}{100}$$

D. $$\frac{d}{(100s +2h)}$$

E. $$\frac{d}{100(s + 2h)}$$
[Reveal] Spoiler: OA

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Sandy
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Manager Joined: 03 Dec 2017
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Re: GRE Math Challenge #31-hot dog costs twice as much as a soda [#permalink]
D. \frac{100d}{(s +2h)}?
solution, thanks!
Intern Joined: 04 Mar 2018
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Re: GRE Math Challenge #31-hot dog costs twice as much as a soda [#permalink]
sandy wrote:
A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dollars, how many cents does soda costs?

A. $$\frac{100d}{(s +2h)}$$

B. $$\frac{(s + 2h)}{100d}$$

C. $$\frac{d(s +2h)}{100}$$

D. $$\frac{100d}{(s +2h)}$$

E. $$\frac{d}{100(s + 2h)}$$

Given options A and D both are same, so pls correct it pls. GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783  , given: 397

Re: GRE Math Challenge #31-hot dog costs twice as much as a soda [#permalink]
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Expert's post
Fixed! Thanks
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Sandy
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Re: GRE Math Challenge #31-hot dog costs twice as much as a soda [#permalink]
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The question should be more precise. It should say that how many cents does "each" soda costs.

Anyway, here's the solution by plugging in numbers. Suppose, one soda costs $1 (100 cents) so one hot dog costs$2 (200 cents) as the hot dog costs twice as much as soda.

Suppose the vendor sells 10 hot dogs and 10 sodas so in total he makes d = \$30.

Now let's try A by plugging h = 10, s = 10, and d = 10. We have (100*30)/(10 + 2(10)) = 100 cents. So A is the answer as each soda costs 100 cents. Re: GRE Math Challenge #31-hot dog costs twice as much as a soda   [#permalink] 13 Mar 2018, 23:33
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