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

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17 Oct 2006, 08:33

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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?

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?

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.

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.
_________________

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?

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

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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.

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

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11 Nov 2015, 19:20

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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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

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
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12 Nov 2015, 04:31

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