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mastergmat

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TomB
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mastergmat [#permalink] New post   Updated on: 25 Aug 2011, 07:57
00:00
A
B
C
D
E

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(N/A)

Question Stats:

100% (01:59) correct 0% (00:00) wrong based on 1 sessions
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**Warning**OA NOT CORRECT!!! PLEASE SEE POSTS BELOW AFTER SOLVING***

On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 5 cups of tea. Last week Mo drank a total of 26 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?

1
2
3
4
5
6
Show Spoiler
B




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B

Originally posted by TomB on 24 Aug 2011, 12:18.
Last edited by fluke on 25 Aug 2011, 07:57, edited 1 time in total.
Warning added for incorrect OA
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Re: mastergmat [#permalink] New post   24 Aug 2011, 13:06
I keep getting the wrong answer:
x+x -14 =26
2x=40
x=20
20/5=4
7-4= 3 days
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Re: mastergmat [#permalink] New post   24 Aug 2011, 13:26
Suppose there are x rainy days in a week
Non-rainy days in a week=7-x
Now on rainy day, N cups of hot chocolate is consumed.
Hence, in a week = Nx cups of hot chocolate is consumed.
On non rainy day, 5 cups of tea is consumed
Hence, in a week = 5(7-x) cups of tea is consumer
Total number of cups of hot choco and tea in a week=26
Nx+5(7-x)=26
Nx+35-5x=26
Nx=5x-9---(1)

Also in a week Mo drank 14 more cups of tea than hot choco
5(7-x)=14+Nx
35-5x=14+Nx
Substituting for Nx from 1
35-5x=14+5x-9
35-5x=5+5x
30=10x
x=3

Yes even i am getting 3 rainy days. Is OA correct?

OA cannot be 2, because then non rainy days become 5 so total number of cups of tea=25
Tea+choco=26
that means choco is 1. That means in 2 rainy days Mo drank 1 cup of choco.each day she drank 1/2 cup. But since N is an integer it is not possible. Unless she drank 0 cup of tea one day. :lol:
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Re: mastergmat [#permalink] New post   24 Aug 2011, 19:31
i agree with these guys. i am getting 3 as well.

H + T = 26

T=14+H

=> H = 6
T = 20

we also know that he drinks 5 cups of tea on a non rainy day. => 20 cups in 4 non rainy days.

=> 3 rainy days.

Hence the answer is C.

If question was to find N , then answer would have been B.
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Re: mastergmat [#permalink] New post   25 Aug 2011, 06:33
sorry guys answer is 3
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Re: mastergmat [#permalink] New post   25 Aug 2011, 07:23
Good to know, was a bit worried I couldn't do low difficulty GMAT questions then.
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Re: mastergmat [#permalink] New post   25 Aug 2011, 07:55
TomB wrote:
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 5 cups of tea. Last week Mo drank a total of 26 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?

1
2
3
4
5
6
Show Spoiler
B


Suppose it rained \(x\) days last week.
It didn't rain \(7-x\) days last week

Overall consumption of Tea and Hot Chocolate:
\(Nx+5(7-x)=26\)------1

Also,
\(Nx+14=5(7-x)\)-------2

Subtracting 1 from 2, we get \(x=3\)

Ans: "C" (By the way, there are 6 options rather than 5)



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Re: mastergmat [#permalink]
25 Aug 2011, 07:55
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