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An orange drink contains 2 ounces of real orange juice per 100 ounces

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An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 04 Oct 2016, 20:57
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A
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D
E

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Question Stats:

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An orange drink contains 2 ounces of real orange juice per 100 ounces of the orange drink. If a bottle contains 32 ounces of the drink, how many ounces of
real orange juice does it contain?

a)2/100
b)2/68
c)2/32
d)32/100
e)64/100

Please assist with above problem.
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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 21 Dec 2017, 19:01
Setting this problem up as a ratio of an amount divided by a total makes this really easy to solve. The question tells us that we have 2 ounces of real orange juice for every 100 ounces of drink. Thus, our juice-to-total ratio would look like this:

\(\frac{J}{T} = \frac{2}{100}\)

The problem then tells us that a particular bottle contains 32 ounces total. We can simply plug that 32-ounce amount into our total, \(T\), and solve for \(J\). Thus:

\(\frac{J}{32} = \frac{2}{100}\)

\(J = \frac{2*32}{100}=\frac{64}{100}\)

While we could further simplify 64/100 down to 16/25 or even to the decimal 0.64, the answers keep it fractional form, so we can stop there.

The answer is (E).

Another way to solve this problem would be to look down at the answer choices and realize this problem might be a prime candidate for approximating. While all the answer choices are small, they are very different from each other, ranging from \(\frac{2}{100}\) to \(\frac{64}{100}\). The question tells us that there are only 2 ounces of juice in 100 ounces of drink. The "target" amount of drink (32 ounces) is approximately \(\frac{1}{3}\) of 100 ounces. Thus, the amount of juice should be about \(\frac{1}{3}\) of 2 ounces. \(\frac{1}{3}\) of 2 is \(\frac{2}{3}\), or about .67 ounces. The only answer choice that is even close to .67 is answer choice (E).

Any way you solve it, the answer is still (E).
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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 04 Oct 2016, 21:21
2
100 ounces of juice have 2 ounce of real juice.

1 ounces of juice have \(\frac{2}{100}\) ounce of real juice.

32 ounces of juice have \(\frac{(2*32)}{100} = \frac{64}{100}\) ounce of real juice.


Ans. E
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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 05 Oct 2016, 06:32
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2
alanforde800Maximus wrote:
An orange drink contains 2 ounces of real orange juice per 100 ounces of the orange drink. If a bottle contains 32 ounces of the drink, how many ounces of
real orange juice does it contain?

a)2/100
b)2/68
c)2/32
d)32/100
e)64/100

Please assist with above problem.


The question effectively means that 2% in a given quantity is orange juice (i.e.\frac{2}{100})
Therefore in 32 ounces of the drink 2% is orange juice.
so, \(\frac{2}{100} * 32\)
= \frac{64}{100}
Ans. E
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An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post Updated on: 08 Oct 2016, 06:18
2
alanforde800Maximus wrote:
An orange drink contains 2 ounces of real orange juice per 100 ounces of the orange drink. If a bottle contains 32 ounces of the drink, how many ounces of
real orange juice does it contain?

a)2/100
b)2/68
c)2/32
d)32/100
e)64/100

Please assist with above problem.



the easiest way to solve this problem is using a simple proportion.

Indeed the ratio \(\frac{(RealJuice)}{(total )}\) has to be the same =\(\frac{2}{100}\)

\(\frac{2}{100}= \frac{x}{32}\)

\(x=\frac{64}{100}\)

answer E
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Originally posted by damybox on 05 Oct 2016, 11:25.
Last edited by damybox on 08 Oct 2016, 06:18, edited 1 time in total.
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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 05 Oct 2016, 13:28
1
2/100=x/32

cross multiply and solve
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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 08 Oct 2016, 04:37
2
damybox wrote:
alanforde800Maximus wrote:
An orange drink contains 2 ounces of real orange juice per 100 ounces of the orange drink. If a bottle contains 32 ounces of the drink, how many ounces of
real orange juice does it contain?

a)2/100
b)2/68
c)2/32
d)32/100
e)64/100

Please assist with above problem.


the easiest way to solve this problem is using a simple proportion.

Indeed the ratio \(\frac{(RealJuice)}{(total )}\) has to be the same =\(\frac{2}{100}\)

\(\frac{2}{100}= \frac{x}{32}\)

\(x=\frac{64}{100}\)

answer D


I believe you meant E. :-D
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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 08 Oct 2016, 06:19
abhimahna wrote:
damybox wrote:
alanforde800Maximus wrote:
An orange drink contains 2 ounces of real orange juice per 100 ounces of the orange drink. If a bottle contains 32 ounces of the drink, how many ounces of
real orange juice does it contain?

a)2/100
b)2/68
c)2/32
d)32/100
e)64/100

Please assist with above problem.


the easiest way to solve this problem is using a simple proportion.

Indeed the ratio \(\frac{(RealJuice)}{(total )}\) has to be the same =\(\frac{2}{100}\)

\(\frac{2}{100}= \frac{x}{32}\)

\(x=\frac{64}{100}\)

answer D


I believe you meant E. :-D


yes, I meant E! :-D

thanks for the correction
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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces  [#permalink]

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New post 27 Jan 2018, 12:12
Hi All,

The first sentence of this prompt tell us that every 100 ounces of orange drink contains 2 ounces of real orange juice (and by extension, the other 98 ounces are something else). We're meant to assume that this ratio is maintained regardless of the amount of orange drink that we have. Thus, 2/100 = 1/50 of any orange drink will be real orange juice.

We're asked for the number of ounces of real orange juice in 32 ounces of orange drink...

(32)(1/50) = 32/50 = 64/100 ounces of real orange juice

Final Answer: E

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Re: An orange drink contains 2 ounces of real orange juice per 100 ounces &nbs [#permalink] 27 Jan 2018, 12:12
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