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An orange drink contains 2 ounces of real orange juice per 1

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by alanforde800Maximus » Tue Oct 04, 2016 8:55 pm
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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by [email protected] » Tue Oct 04, 2016 10:13 pm
Hi alanforde800Maximus,

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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by crackverbal » Wed Oct 05, 2016 1:22 am
Hi Alan,

It's a direct proportion question.

Like "x" increases if "y" also increase then we say "x" directly varies with "y" In that case the ratio's will be constant, that is ,

x/y = k

Here for every 100 ounces of orange juice there is 2 ounces of real orange juice, so if a bottle contains 32 ounces of orange juice we have 64/100 ounces of real orange juice.

Let, z = amount of real orange juice

2/ 100 = z / 32

So, z = 64/100.

So the answer is E.

Hope this clear

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