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A restaurant makes its regular sauce from 5 parts sweet sauce and 3

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A restaurant makes its regular sauce from 5 parts sweet sauce and 3  [#permalink]

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New post 15 Apr 2017, 07:44
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Question Stats:

70% (02:44) correct 30% (03:00) wrong based on 154 sessions

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A restaurant makes its regular sauce from 5 parts sweet sauce and 3 parts chilli sauce. Then its spicy sauce is made from 5 parts chilli sauce and 3 parts sweet sauce. How many cups of chilli sauce must be mixed with a 24-cup regular sauce to turn it to spicy sauce?

A) 6
B) 12
C) 16
D) 24
E) 30

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Re: A restaurant makes its regular sauce from 5 parts sweet sauce and 3  [#permalink]

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New post 15 Apr 2017, 08:04
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amathews wrote:
A restaurant makes its regular sauce from 5 parts sweet sauce and 3 parts chilli sauce. Then its spicy sauce is made from 5 parts chilli sauce and 3 parts sweet sauce. How many cups of chilli sauce must be mixed with a 24-cup regular sauce to turn it to spicy sauce?

A) 6
B) 12
C) 16
D) 24
E) 30


Hi,

24 cup regular sauce...
Total parts 3 chilli + 5 sweet = 8 parts..
Here each part = \(\frac{24}{8}=3\)..
Chilli - 3*3=9 and sweet - 3*5=15

Since ONLY chilli sauce is added, we can keep sweet to be constant
Sweet=15 cups..
Now sweet becomes 3 parts out of 3+5 or 8 parts.
So \(\frac{3}{8}*T=15......T=\frac{15*8}{3}=40\)..
Total becomes 40 from 24 and all added is chilli..
So cups of chilli sauce added=40-24=16

C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: A restaurant makes its regular sauce from 5 parts sweet sauce and 3  [#permalink]

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New post 15 Apr 2017, 08:11
chetan2u, did it take you under 1.5 mins to do this question? If so, any tips? Takes me 2+ mins to do these type of mixture conversion questions.
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Re: A restaurant makes its regular sauce from 5 parts sweet sauce and 3  [#permalink]

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New post 15 Apr 2017, 08:29
amathews wrote:
chetan2u, did it take you under 1.5 mins to do this question? If so, any tips? Takes me 2+ mins to do these type of mixture conversion questions.


Hi amathews,

It took exactly 10 secs more than reading the Q as I could solve it in mind.
But that may be because I am ok at these things. I would have thought of some other way if it would not have come this way.

How you can do it?
If you are able to make up for the extra time in mixture Q in some other topics, it may well be fine as it is.
But if not then you can improve speed by practicing and learning new methods and see what suits you. Each Q requires a different approach depending on what is given. I am sure you too can get a hang of it with practice.
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: A restaurant makes its regular sauce from 5 parts sweet sauce and 3  [#permalink]

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New post 15 Apr 2017, 08:48
Ty for your advice in the matter
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A restaurant makes its regular sauce from 5 parts sweet sauce and 3  [#permalink]

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New post 15 Apr 2017, 09:18
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2
amathews wrote:
A restaurant makes its regular sauce from 5 parts sweet sauce and 3 parts chilli sauce. Then its spicy sauce is made from 5 parts chilli sauce and 3 parts sweet sauce. How many cups of chilli sauce must be mixed with a 24-cup regular sauce to turn it to spicy sauce?

A) 6
B) 12
C) 16
D) 24
E) 30


let x=cups of chilli sauce to be mixed
3/8*24+x=5/8*(24+x)
x=16
C
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Re: A restaurant makes its regular sauce from 5 parts sweet sauce and 3  [#permalink]

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New post 24 Jul 2018, 00:21
Hello from the GMAT Club BumpBot!

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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Re: A restaurant makes its regular sauce from 5 parts sweet sauce and 3 &nbs [#permalink] 24 Jul 2018, 00:21
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