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How much did a certain call cost? 1) The call lasted 53

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Director
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How much did a certain call cost? 1) The call lasted 53 [#permalink] New post 26 Apr 2009, 12:27
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How much did a certain call cost?

1) The call lasted 53 minutes

2) The cost for the first 3 minutes was 5 times the cost for each additional minute

This is an easy problem, but there is something wrong with the logic I used to approach this problem. Can someone help me troubleshoot?

correct way:

let c=cost for first 3 minutes

c + c/5(50min)= total cost

i initially approacehed the problem like this:

let c =cost

5c (3min) + c(50min) = total cost

why is this wrong?


thanks!
SVP
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Re: #73 OG DS [#permalink] New post 28 Apr 2009, 01:10
bigtreezl wrote:
How much did a certain call cost?

1) The call lasted 53 minutes

2) The cost for the first 3 minutes was 5 times the cost for each additional minute

This is an easy problem, but there is something wrong with the logic I used to approach this problem. Can someone help me troubleshoot?

correct way:

let c=cost for first 3 minutes

c + c/5(50min)= total cost

i initially approacehed the problem like this:

let c =cost

5c (3min) + c(50min) = total cost

why is this wrong?


thanks!


For the highlited line, if C is the cost of each additional minute beyond 3 minutes, then the total cost should be
5C + C(50) = 55C

and not 5C * 3 + c * 50 as 5C is the cost of first three minutes.
Director
Director
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Joined: 23 May 2008
Posts: 840
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Re: #73 OG DS [#permalink] New post 28 Apr 2009, 08:23
scthakur wrote:
bigtreezl wrote:
How much did a certain call cost?

1) The call lasted 53 minutes

2) The cost for the first 3 minutes was 5 times the cost for each additional minute

This is an easy problem, but there is something wrong with the logic I used to approach this problem. Can someone help me troubleshoot?

correct way:

let c=cost for first 3 minutes

c + c/5(50min)= total cost

i initially approacehed the problem like this:

let c =cost

5c (3min) + c(50min) = total cost

why is this wrong?


thanks!


For the highlited line, if C is the cost of each additional minute beyond 3 minutes, then the total cost should be
5C + C(50) = 55C

and not 5C * 3 + c * 50 as 5C is the cost of first three minutes.



Ok thanks!

I guess i was thinking the price per minute for the first three minutes, but the question stem doesnt say that...
Manager
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Re: #73 OG DS [#permalink] New post 28 Apr 2009, 14:34
5c (3min) + c(50min) = total cost. Even with this equation, we do need c in order to find the cost of the call. Hence, E.
Director
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Re: #73 OG DS [#permalink] New post 28 Apr 2009, 15:16
typhoidX wrote:
How was the original worded? You wouldn't need to do all that calculation if they don't give you some kind of per-minute rate, since the answer would be E no matter what algebra you do, right?


yeah true..but i am taking a different approach this time in doing all of the math problems in OG. Answers are kind of irrelevant, I'm more interested in theory, set up, structure and technique. Basically I'm looking for new ways to think about the problems that I already did.
Re: #73 OG DS   [#permalink] 28 Apr 2009, 15:16
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How much did a certain call cost? 1) The call lasted 53

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