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Eight liters of a 45% saline solution is left in the sun. Water evapor

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Eight liters of a 45% saline solution is left in the sun. Water evapor  [#permalink]

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New post 03 Feb 2017, 08:11
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Eight liters of a 45% saline solution is left in the sun. Water evaporates from the solution leaving a 60% saline solution. Approximately how much water evaporated from the solution?

A. 1.2 liters
B. 2.0 liters
C. 2.1 liters
D. 6.0 liters
E. 7.0 liters

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Re: Eight liters of a 45% saline solution is left in the sun. Water evapor  [#permalink]

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New post 03 Feb 2017, 09:16
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Bunuel wrote:
Eight liters of a 45% saline solution is left in the sun. Water evaporates from the solution leaving a 60% saline solution. Approximately how much water evaporated from the solution?

A. 1.2 liters
B. 2.0 liters
C. 2.1 liters
D. 6.0 liters
E. 7.0 liters


Total Solution = 8 Lit
Salt = 3.6 Lit
Water = 4.4 Lit

\(\frac{3.6}{(8-x)} = \frac{6}{10}\)

36 = 48 - 6x

6x = 12

Or, x = 2

Thus, 2 Litres of water evaporates from the solution, answer must be (B) 2.00
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Eight liters of a 45% saline solution is left in the sun. Water evapor  [#permalink]

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New post Updated on: 31 Jul 2018, 16:43
Bunuel wrote:
Eight liters of a 45% saline solution is left in the sun. Water evaporates from the solution leaving a 60% saline solution. Approximately how much water evaporated from the solution?

A. 1.2 liters
B. 2.0 liters
C. 2.1 liters
D. 6.0 liters
E. 7.0 liters


let x=liters of water evaporated
(.55*8)-x=.4(8-x)
x=2 liters
B

Originally posted by gracie on 03 Feb 2017, 11:37.
Last edited by gracie on 31 Jul 2018, 16:43, edited 1 time in total.
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Eight liters of a 45% saline solution is left in the sun. Water evapor  [#permalink]

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New post 08 Feb 2017, 03:44
can this be solved using weighted average method???

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Re: Eight liters of a 45% saline solution is left in the sun. Water evapor  [#permalink]

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New post 13 Feb 2017, 08:37
1
Bunuel wrote:
Eight liters of a 45% saline solution is left in the sun. Water evaporates from the solution leaving a 60% saline solution. Approximately how much water evaporated from the solution?

A. 1.2 liters
B. 2.0 liters
C. 2.1 liters
D. 6.0 liters
E. 7.0 liters


We are given that an 8-liter saline solution is 45% salt (and thus 55% water). Thus:

Amount of salt = 8 x 0.45 = 3.6 liters

Amount of water = 8 - 3.6 = 4.4 liters

We are also given that some amount of solution evaporates, leaving a 60% saline solution. However, since only water evaporates (salt doesn’t evaporate), we can let w be the amount of water that evaporates, and the new solution is 60% = 6/10 = 3/5 saline.

Let’s determine how much water evaporated.

3.6/(8 - w) = 3/5

5(3.6) = 3(8 - w)

18 = 24 - 3w

3w = 6

w = 2

Answer: B
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Re: Eight liters of a 45% saline solution is left in the sun. Water evapor  [#permalink]

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New post 30 Jul 2018, 22:18
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Re: Eight liters of a 45% saline solution is left in the sun. Water evapor &nbs [#permalink] 30 Jul 2018, 22:18
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