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# A business bought r typewriters at $100 per typewriter and s  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Director Joined: 23 Jun 2005 Posts: 847 GMAT 1: 740 Q48 V42 Followers: 5 Kudos [?]: 38 [0], given: 1 A business bought r typewriters at$100 per typewriter and s [#permalink]  17 Oct 2006, 07:33
00:00

Difficulty:

55% (hard)

Question Stats:

48% (01:51) correct 52% (00:51) wrong based on 98 sessions
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 [Reveal] Spoiler: OA Senior Manager Joined: 30 Aug 2006 Posts: 374 Followers: 3 Kudos [?]: 27 [0], given: 0 [#permalink] 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 SVP Joined: 05 Jul 2006 Posts: 1516 Followers: 5 Kudos [?]: 134 [0], given: 39 [#permalink] 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

Senior Manager
Joined: 13 Sep 2006
Posts: 282
Location: New York
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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
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Location: paris
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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: 498
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Think this is from MGMAT and the answer is B.
Director
Joined: 05 Feb 2006
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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
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Re: [#permalink]  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 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. Math Expert Joined: 02 Sep 2009 Posts: 28780 Followers: 4591 Kudos [?]: 47358 [0], given: 7121 Re: Re: [#permalink] 16 Nov 2013, 09:31 Expert's post 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.
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Manager
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Kudos [?]: 23 [0], given: 27

Re: Re: [#permalink]  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 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. Why are we multiplying the equation 2r + s by 50 ? Can we multiply it by 100 and get the same correct answer? Intern Joined: 11 May 2011 Posts: 22 Followers: 0 Kudos [?]: 14 [0], given: 1 Re: A business bought r typewriters at$100 per typewriter and s [#permalink]  19 Nov 2013, 00:02
Hello,

From the question what we need is

100r+50s=? which actually translates to 50(2r+s) = ?

Now,

Option 1:

cost of s calculator = 200
so we know each calculator is 50
hence all we know from option 1 is that we have 4 calculators
But no idea about typewriter Yet

So option 1 alone is not enough

Option 2:

2r+ s = 10

which means that this can be directly substituted into the equation we derived from the question.

50(2r+s) = 50 (10) = 500

hence option 2 alone is Sufficient

Thanks and regards,
Raghav. V
Math Expert
Joined: 02 Sep 2009
Posts: 28780
Followers: 4591

Kudos [?]: 47358 [0], given: 7121

Re: Re: [#permalink]  19 Nov 2013, 00:25
Expert's post
mrwells2 wrote:
Bunuel wrote:
aakrity wrote:
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?

We need to find the value of 100r + 50s. Do you get 100r + 50s when you multiply 2r + s by 100?
_________________
Re: Re:   [#permalink] 19 Nov 2013, 00:25
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