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A business bought r typewriters at $100 per typewriter and s [#permalink] ### Show Tags 17 Oct 2006, 07:33 1 This post received KUDOS 1 This post was BOOKMARKED 00:00 Difficulty: 55% (hard) Question Stats: 46% (01:52) correct 54% (00:57) wrong based on 179 sessions ### HideShow timer Statistics A business bought r typewriters at$100 per typewriter and s calculators at $50 per calculator. What is the total cost of the typewriters and calculators? (1) The s calculators cost$200

(2) 2r + s = 10
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17 Oct 2006, 07:40
C

i) INS we don't know how many typewriters we bought
ii) INS we don't know the relationship between r+s

Using both i) tells us s =4 and therefore using ii) we can deduce r = 3
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17 Oct 2006, 08:01
A business bought r typewriters at $100 per typewriter and s calculators at$50 per calculator. What is the total cost of the typewriters and calculators?

I . The s calculators cost $200 II. 2r+s = 10 TOTAL COST 100R+50S = 50(2R+S) FROM ONE ....INSUFF FROM TWO EACH 2 TYPEWRITERS AND 1 CALCULATOR = 10 THUS 100R+50S = 500 b IS MY ANSWER Senior Manager Joined: 13 Sep 2006 Posts: 281 Location: New York Followers: 1 Kudos [?]: 18 [0], given: 0 ### Show Tags 17 Oct 2006, 10:05 Yes - one more for B. I think C is a trap. _________________ "Never let the fear of striking out get in your wayâ€ Manager Joined: 04 May 2006 Posts: 173 Location: paris Followers: 1 Kudos [?]: 29 [0], given: 0 ### Show Tags 18 Oct 2006, 03:52 Agree C is trap B is enough s= 10 -2*r 100*r+ 50*s= T T= 100*r + 50 (10 -2*r)=500 _________________ time is not on my side Senior Manager Joined: 01 Oct 2006 Posts: 497 Followers: 1 Kudos [?]: 32 [0], given: 0 ### Show Tags 18 Oct 2006, 04:41 Think this is from MGMAT and the answer is B. Director Joined: 05 Feb 2006 Posts: 898 Followers: 3 Kudos [?]: 108 [0], given: 0 ### Show Tags 18 Oct 2006, 22:27 ask80 wrote: tennis_ball wrote: B. 100r + 50s = 50(2r+s). how did you get the 50(2r+s) ? Divide 100r+50s by 50.... 50(2r+s) Intern Joined: 08 Oct 2011 Posts: 42 Followers: 0 Kudos [?]: 24 [0], given: 38 Re: [#permalink] ### Show Tags 16 Nov 2013, 09:15 yezz wrote: A business bought r typewriters at$100 per typewriter and s calculators at $50 per calculator. What is the total cost of the typewriters and calculators? I . The s calculators cost$200
II. 2r+s = 10

TOTAL COST

100R+50S = 50(2R+S)

FROM ONE ....INSUFF

FROM TWO

EACH 2 TYPEWRITERS AND 1 CALCULATOR = 10

THUS 100R+50S = 500

For the equation 100R + 50S, we will get the total cost.

The second equation is 2R + S = 10
Why are we assuming that this 10 is the cost and multiplying by 50 on both sides will get us the total cost? It could be the of the typewriters and calculators which makes choice B insufficient and C sufficient.
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16 Nov 2013, 09:31
1
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aakrity wrote:
yezz wrote:
A business bought r typewriters at $100 per typewriter and s calculators at$50 per calculator. What is the total cost of the typewriters and calculators?

(1) The s calculators cost $200 (2) 2r + s = 10 TOTAL COST 100R+50S = 50(2R+S) FROM ONE ....INSUFF FROM TWO EACH 2 TYPEWRITERS AND 1 CALCULATOR = 10 THUS 100R+50S = 500 b IS MY ANSWER For the equation 100R + 50S, we will get the total cost. The second equation is 2R + S = 10 Why are we assuming that this 10 is the cost and multiplying by 50 on both sides will get us the total cost? It could be the of the typewriters and calculators which makes choice B insufficient and C sufficient. We need to find the value of 100r + 50s. (2) says that 2r + s = 10 multiply by 50: 50*(2r + s) = 100r + 50s = 500. So, we have the value we wanted. Thus this statement is sufficient. _________________ Manager Joined: 26 May 2013 Posts: 93 Followers: 0 Kudos [?]: 29 [0], given: 29 Re: Re: [#permalink] ### Show Tags 18 Nov 2013, 19:11 Bunuel wrote: aakrity wrote: yezz wrote: A business bought r typewriters at$100 per typewriter and s calculators at $50 per calculator. What is the total cost of the typewriters and calculators? (1) The s calculators cost$200

(2) 2r + s = 10

TOTAL COST

100R+50S = 50(2R+S)

FROM ONE ....INSUFF

FROM TWO

EACH 2 TYPEWRITERS AND 1 CALCULATOR = 10

THUS 100R+50S = 500

For the equation 100R + 50S, we will get the total cost.

The second equation is 2R + S = 10
Why are we assuming that this 10 is the cost and multiplying by 50 on both sides will get us the total cost? It could be the of the typewriters and calculators which makes choice B insufficient and C sufficient.

We need to find the value of 100r + 50s.

(2) says that 2r + s = 10 multiply by 50: 50*(2r + s) = 100r + 50s = 500. So, we have the value we wanted. Thus this statement is sufficient.

Why are we multiplying the equation 2r + s by 50 ? Can we multiply it by 100 and get the same correct answer?
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11 Nov 2015, 18:20
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Re: A business bought r typewriters at $100 per typewriter and s [#permalink] ### Show Tags 12 Nov 2015, 03:31 anandsebastin wrote: A business bought r typewriters at$100 per typewriter and s calculators at $50 per calculator. What is the total cost of the typewriters and calculators? (1) The s calculators cost$200

(2) 2r + s = 10

Given: Price of r typewriters = 100*r
Price of s calculators = 50*s

Required: 100*r + 50*s =?
Or 50(2r + s) = ?

Statement 1: s calculators cost $200 Or 50s = 200 This does not gives us anything about r. INSUFFICIENT Statement 1: 2r + s = 10 This gives us the value of unknown entity in 50*(2r + s) Hence, the total cost can be found out. SUFFICIENT Option B _________________ Reach out to us at bondwithus@gmatify.com Re: A business bought r typewriters at$100 per typewriter and s   [#permalink] 12 Nov 2015, 03:31
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