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

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

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New post 31 Oct 2018, 23:34
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (01:12) correct 14% (01:41) wrong based on 21 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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Re: Katherine drank 25 percent of her bottle of soda on the way to work  [#permalink]

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New post 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

Answer: 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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