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abruzzese [7]
3 years ago
15

Please help me out!

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer is C.

90-77.5= 12.5

12.5/5.2= 2.40 z-score

90 is the missing answer

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How many gallons of pure water should be evaporated from 160 gallons of a solution containing 12% salt
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Answer:

66 gallons

Step-by-step explanation:

Given that initially 160 gallons of a solution containing 12% salt.

So, the initial amount of salt = 12% of 160 = 12/100 x 160 = 19.2 gallons.

Let x gallons of water get evaporated so that the remaining solution contains 20% salt.

The remaining amount of solution = 160-x gallons.

As the initial amount of salt is still in the solution which is equal to 20% of the remaining solution, so

19.2 = 20% of (160-x)

\Rightarrow 19.2 = \frac {20}{100}\times (160-x) \\\\\Rightarrow 19.2 = \frac {1}{5}\times (160-x) \\\\\Rightarrow 19.2 \times 5= 160-x \\\\\Rightarrow 96= 160-x \\\\\Rightarrow x= 160-96 \\\\

\Rightarrow x= 66 gallons

Hence, 66 gallons of water must be evaporated to get a 20% salt solution.

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