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# Katherine drank 25 percent of her bottle of soda on the way to work

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Math Expert
Joined: 02 Sep 2009
Posts: 50729
Katherine drank 25 percent of her bottle of soda on the way to work  [#permalink]

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31 Oct 2018, 23:34
00:00

Difficulty:

25% (medium)

Question Stats:

84% (01:15) correct 16% (01:41) wrong based on 19 sessions

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Katherine drank 25 percent of her bottle of soda on the way to work, and drank another 3 ounces when she got there. The bottle now contains 60 percent of what it contained originally. How many ounces of soda did Katherine`s bottle originally hold?

A. 4
B. 8
C. 10
D. 16
E. 20

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Posts: 2211
Re: Katherine drank 25 percent of her bottle of soda on the way to work  [#permalink]

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01 Nov 2018, 03:21

Solution

Given:
• Katherine drank 25% of her bottle of soda on the way to work
• And, she drank another 3 more ounces, when she got there
• After she drank 3 more ounces, the bottle contained 60% of what it contained originally

To find:
• The initial number of ounces of soda in Katherine’s bottle

Approach and Working:
• Let the number of ounces initially present in her bottle = x
o After she drank 25% of soda, number of ounces left in the bottle = $$x – 25% of x = \frac{3x}{4}$$
o And, the number of ounces left over after she drank 3 more ounces = $$\frac{3x}{4} – 3$$
 $$\frac{3x}{4} – 3$$ = 60% of x
 Implies, $$\frac{3x}{4} – 3 = \frac{3x}{5}$$

• Therefore, x = 20 ounces

Hence, the correct answer is Option E

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Re: Katherine drank 25 percent of her bottle of soda on the way to work &nbs [#permalink] 01 Nov 2018, 03:21
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