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Archy [21]
3 years ago
12

Anna-Maria has added 4 quarts of an alcohol in water solution to 1 quart of water and her ending product is a 36% alcohol in wat

er solution. What was the concentration of the 4 quarts of alcohol solution that was added?
Mathematics
1 answer:
fomenos3 years ago
5 0
The concentration of solution would be the amount of the molecule divided by the volume. In this case, the solution concentration is 36% and the volume is 4 quarts + 1 quarts= 5 quarts. You are asked the concentration before 1 quarts added. The alcohol content should be same for both solutions. The answer should be:

concentration = alcohol content/ volume
alcohol content =concentration * volume
alcohol content1 =alcohol content2
36% * 5 quarts = concentration2 * 4quarts
concentration2= 36% * 5 quarts / 4 quarts= 45%
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Please check the explanation below.

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Some of the properties are defined as:

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  • <em>Subtraction property of Equality</em>

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  • <em>Addition property of Equality</em>

if (a=b), then a+c = b+c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a+c = b+c ⇒ 2+3 = 2+3  ⇒ 5 = 5

  • <em>Multiplicative property of Equality</em>

if (a=b), then a×c = b×c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

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  • <em>Division property of Equality</em>

if (a=b), then a÷c = b÷c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3  ⇒ 2/5 = 2/5

Let us solve the given equation using the above properties.

7n-16=47                     Given

7n-16+16=47+16   1) Addtion property of Equality ∵ if (a=b), then a+c = b+c

7n=63                  2) simplify

n = 9                    3) Division property of Equality ∵ if (a=b), then a÷c = b÷c        

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