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03 Jan 2016, 11:28
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At a certain restaurant, the price of a sandwich is $4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is$ 7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax?

A. $1.50 B.$ 3.00
C. $4.00 D.$ 5.50
E. $7.00 [Reveal] Spoiler: OA _________________ Verbal Forum Moderator Status: Greatness begins beyond your comfort zone Joined: 08 Dec 2013 Posts: 1914 Location: India Concentration: General Management, Strategy Schools: Kelley '20, ISB '19 GPA: 3.2 WE: Information Technology (Consulting) Re: At a certain restaurant, the price of a sandwich is$ 4.00 more than [#permalink]

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06 Jan 2016, 11:00
Let the price of sandwhich = S
price of coffee = C
S= C+4
=> S - C = 4 --1
the price of a sandwich and a cup of coffee is $7.35, including a sales tax of 5%, 1.05(S+C) = 7.35 => S+C = 7 --2 From equations 1 and 2, we get S=5.5$
C= 1.5$Answer A _________________ When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful VP Status: Preparing for the GMAT Joined: 02 Nov 2016 Posts: 1369 Location: Pakistan GPA: 3.4 At a certain restaurant, the price of a sandwich is$4.00 more than th [#permalink]

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17 Feb 2017, 03:34
At a certain restaurant, the price of a sandwich is $4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is$7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax?

A. $1.50 B.$3.00
C. $4.00 D.$5.50
E. $7.00 _________________ Official PS Practice Questions Press +1 Kudos if this post is helpful Math Expert Joined: 02 Sep 2009 Posts: 43892 Re: At a certain restaurant, the price of a sandwich is$ 4.00 more than [#permalink]

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17 Feb 2017, 03:37
At a certain restaurant, the price of a sandwich is $4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is$7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax?

A. $1.50 B.$3.00
C. $4.00 D.$5.50
E. $7.00 Please search before posting. Thank you. _________________ Manager Joined: 02 Aug 2015 Posts: 70 Re: At a certain restaurant, the price of a sandwich is$ 4.00 more than [#permalink]

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17 Feb 2017, 08:35
Bunuel wrote:
At a certain restaurant, the price of a sandwich is $4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is$ 7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax?

A. $1.50 B.$ 3.00
C. $4.00 D.$ 5.50
E. $7.00 On scanning the options, only option A will give a total amount less than 7.35$.i.e 1.5+5.5=7. Rest of the options will give an amount greater than 7.35$and that's impossible given the total cost of sandwich and coffee inclusive of tax is 7.35$.

Hence A.
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Re: At a certain restaurant, the price of a sandwich is $4.00 more than [#permalink] ### Show Tags 23 Feb 2017, 09:28 1 This post received KUDOS Expert's post Bunuel wrote: At a certain restaurant, the price of a sandwich is$ 4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is $7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax? A.$ 1.50
B. $3.00 C.$ 4.00
D. $5.50 E.$ 7.00

We can let c = the price of a cup of coffee and s = the price of a sandwich and create the following equation:

s = 4 + c

We are also given that the price of a sandwich and cup of coffee is $7.35, including a 5% sales tax. Thus: 1.05(c + s) = 7.35 c + s = 7.35/1.05 = 7 Thus, excluding the 5% sales tax, c + s = 7. Finally, we can substitute 4 + c for s in the equation c + s = 7 and we have: c + 4 + c = 7 2c = 3 c =$1.50

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Re: At a certain restaurant, the price of a sandwich is $4.00 more than [#permalink] ### Show Tags 23 Feb 2017, 09:39 Bunuel wrote: At a certain restaurant, the price of a sandwich is$ 4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is $7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax? A.$ 1.50
B. $3.00 C.$ 4.00
D. $5.50 E.$ 7.00

$$s + c = 7.00$$ ( Ex S.tax )

Now, $$s = c + 4$$

Or, $$( c + 4 ) + c = 7$$

Or, $$2c = 3$$

Or, $$c = 1.5$$

Thus, price of a cup of coffee, EXCLUDING the sales tax is $1.50 , answer will be (A)$ 1.50
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