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If 1 cup of water is added to a 5-cup mixture that is 2/3 salt

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QuantMadeEasy
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If 1 cup of water is added to a 5-cup mixture that is 2/3 salt [#permalink] New post   18 Feb 2020, 04:49
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A
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C
D
E

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35% (medium)

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68% (01:52) correct 32% (02:11) wrong based on 191 sessions
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If 1 cup of water is added to a 5-cup mixture that is \(\frac{2}{3}\) salt and \(\frac{1}{3}\) water, what percent of the 6-cup mixture is salt?​

a. 20%​

b. 25%​

c. 33.33%​

d. 55.56%​

e. 66.67%​
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D
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Re: If 1 cup of water is added to a 5-cup mixture that is 2/3 salt [#permalink] New post   18 Feb 2020, 15:08
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(2/3) * 5 / 6 = 5/9=0.55555555

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Re: If 1 cup of water is added to a 5-cup mixture that is 2/3 salt [#permalink] New post   18 Feb 2020, 15:15
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The chemistry principle of C*V initial = C*V Final can be applied to this problem:
(\(\frac{2}{3}\))*(5) = C Final *6
\(\frac{10}{3}\)* \(\frac{1}{6}\) = C Final
\(\frac{10}{18}\) = 0.555555 = 55.5555% = C Final
Ans= D
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Re: If 1 cup of water is added to a 5-cup mixture that is 2/3 salt [#permalink] New post   10 Jun 2021, 06:14
Let the total volume of 5 cup of mixture = 3*3 = 9 units

2/3 * 9 = 6 units salt

5 cup = 9 units
6 cup = 9*6/5 = 54/5 units

6 units of salt is what % of 54/5 units of mixture = 6*5*100/54 = 55.56% (D)
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Re: If 1 cup of water is added to a 5-cup mixture that is 2/3 salt [#permalink] New post   10 Jun 2021, 06:38
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Adding a small amount of water to a larger amount of liquid that is 2/3 salt and 1/3 water will result in a solution that is a bit less than 2/3 salt.

No way does this small addition of water result in flipping the fractions to 1/3 salt and 2/3 water, so eliminate A, B, and C.

Since E keeps the salt at 2/3, only D fits.

I might not be so great at math (kidding - I am) but I’m smart.

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Re: If 1 cup of water is added to a 5-cup mixture that is 2/3 salt [#permalink] New post   07 Nov 2022, 22:22
Make small chart (15 to 20 seconds)
S: 10/3 (5x2/3)
W: 1 2/3 (5x1/3)
T: 5

Add 1 cup to 1 2/3. Total mixture is 6. But salt quantity does not change.
So salt/total that is given 6.
10/3 x 1/6 = 10/18, OR 5/9. (Note: memorize 1/9 in decimal form, and multiply each number correspondingly. For example .11111 x 5)
.555555
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Re: If 1 cup of water is added to a 5-cup mixture that is 2/3 salt [#permalink]
07 Nov 2022, 22:22
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