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The ratio, in ounces, of coffee to cream to sugar in one's dinner be..

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The ratio, in ounces, of coffee to cream to sugar in one's dinner be..  [#permalink]

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New post 17 Oct 2017, 07:18
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The ratio, in ounces, of coffee to cream to sugar in one's dinner beverage is 8:2:1. Another diner wants to double the ratio of coffee to sugar but maintain the ratio of coffee to cream. If the new drink will fill a 42-ounce thermos, how many ounces of cream are needed?

A. 1
B. 2
C. 4
D. 8
E. 32
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Re: The ratio, in ounces, of coffee to cream to sugar in one's dinner be..  [#permalink]

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New post 17 Oct 2017, 07:56
Existing
coffee : cream : sugar = 8:2:1

New ratio:
coffee : cream : sugar = 16:4:1

So for 42-ounce thermos, cream needed = 42*(4/21) = 8 ounce

Ans: D.
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Re: The ratio, in ounces, of coffee to cream to sugar in one's dinner be..  [#permalink]

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New post 17 Oct 2017, 17:38
Existing ratio of coffee: cream:sugar= 8:2:1
New ratio of coffee:cream:sugar= 16:4:1

So Qty of cream in 42 ounce thermos= 42*\(\frac{4}{21}\)= 8 ounce

Answer: D.
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The ratio, in ounces, of coffee to cream to sugar in one's dinner be..  [#permalink]

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New post Updated on: 19 Oct 2017, 11:03
Coffee to sugar 8:1 or 8/1

Double (8/1)(2) = 16/1

New Ratio:

16:4:1

The ratio of Coffee to Cream stayed the same at 16:4

16x + 4x + x = 21x

21x=42

x= 2

To find the amount of creamer 4(2) = 8 ounces

Originally posted by ladyrenee95 on 17 Oct 2017, 18:40.
Last edited by ladyrenee95 on 19 Oct 2017, 11:03, edited 1 time in total.
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Re: The ratio, in ounces, of coffee to cream to sugar in one's dinner be..  [#permalink]

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New post 19 Oct 2017, 09:53
ladyrenee95 wrote:
Coffee to sugar 8:1 or 8/1

Double (8/1)(2) = 16/1

New Ratio:

16:2:1

The ratio of cream to sugar stayed the same at 2:1 in both

16x + 2x + x = 21x

21x=42

x= 2

To find the amount of creamer 4(2) = 8 ounces



You mean,

!6x + 4x + x=21x
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Re: The ratio, in ounces, of coffee to cream to sugar in one's dinner be..  [#permalink]

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New post 19 Oct 2017, 11:03
asfandabid wrote:
ladyrenee95 wrote:
Coffee to sugar 8:1 or 8/1

Double (8/1)(2) = 16/1

New Ratio:

16:2:1

The ratio of cream to sugar stayed the same at 2:1 in both

16x + 2x + x = 21x

21x=42

x= 2

To find the amount of creamer 4(2) = 8 ounces



You mean,

!6x + 4x + x=21x



Yes, that's what I meant. I was using four, but writing a 2 for some reason. Thank You!
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Re: The ratio, in ounces, of coffee to cream to sugar in one's dinner be.. &nbs [#permalink] 19 Oct 2017, 11:03
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