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A business bought r typewriters at $100 per typewriter and s

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A business bought r typewriters at $100 per typewriter and s [#permalink]

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New post 17 Oct 2006, 08:33
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A
B
C
D
E

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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
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New post 17 Oct 2006, 08:40
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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New post 17 Oct 2006, 09:01
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
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New post 17 Oct 2006, 11:05
Yes - one more for B. I think C is a trap.
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New post 18 Oct 2006, 04:52
Agree C is trap

B is enough

s= 10 -2*r
100*r+ 50*s= T

T= 100*r + 50 (10 -2*r)=500
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New post 18 Oct 2006, 05:41
Think this is from MGMAT and the answer is B.
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New post 18 Oct 2006, 23:27
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)
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New post 16 Nov 2013, 10:15
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.
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New post 16 Nov 2013, 10:31
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

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.
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Re: Re: [#permalink]

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New post 18 Nov 2013, 20:11
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?
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Re: A business bought r typewriters at $100 per typewriter and s [#permalink]

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New post 19 Nov 2013, 01:02
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
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New post 19 Nov 2013, 01:25
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?
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: A business bought r typewriters at $100 per typewriter and s [#permalink]

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Re: A business bought r typewriters at $100 per typewriter and s [#permalink]

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New post 12 Nov 2015, 04:31
Expert's post
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
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Re: A business bought r typewriters at $100 per typewriter and s   [#permalink] 12 Nov 2015, 04:31
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