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To dilute 300 quarts of a 25% solution of garlic to a 20% solution how

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Bunuel
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To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink] New post  14 Jul 2020, 03:01
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To dilute 300 quarts of a 25% solution of garlic to a 20% solution, how much water should a chef add?

A. 15
B. 60
C. 75
D. 120
E. 125
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ArunSharma12
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Re: To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink] New post  14 Jul 2020, 06:14
Bunuel wrote:
To dilute 300 quarts of a 25% solution of garlic to a 20% solution, how much water should a chef add?

A. 15
B. 60
C. 75
D. 120
E. 125


In 300 quarts, garlic solution = 300/4 = 75
let the water added be x.
\(\frac{75}{300+x} = \frac{1}{5}\)
\(375 = 300 + x\)
x = 75
Ans: C
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Re: To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink] New post  14 Jul 2020, 06:35
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300 quarts of a 25% solution of garlic to a 20% solution, how much water should a chef add?

Garlic in the original solution: 25/100* 300 = 75

So 75 quarts of garlic solution remain constant to which the chef will add water.
Let the solution after the water added be x

Hence, 75/x =20/100

x= 375

New solution - original solution = amount of water added
375- 300 = 75

OA: C
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satya2029
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Re: To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink] New post  14 Jul 2020, 07:14
Bunuel wrote:
To dilute 300 quarts of a 25% solution of garlic to a 20% solution, how much water should a chef add?

A. 15
B. 60
C. 75
D. 120
E. 125

since the quantity of garlic will be same
C1V1=C2V2
1/4*300=1/5(300+X)
5/4*300-300=X
X=300/4
X=75
C:)
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Re: To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink] New post  14 Jul 2020, 15:42
Expert Reply
Bunuel wrote:
To dilute 300 quarts of a 25% solution of garlic to a 20% solution, how much water should a chef add?

A. 15
B. 60
C. 75
D. 120
E. 125


300 * 25% = 75 quarts of pure garlic. In order to make the 75 quarts of garlic 20% of a solution, we need 75/20% = 75 * 5 = 375 quarts of a solution total.

Right now we have 300 quarts so add 75 quarts of water.

Ans: C
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gracie
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Re: To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink] New post  14 Jul 2020, 19:23
Bunuel wrote:
To dilute 300 quarts of a 25% solution of garlic to a 20% solution, how much water should a chef add?

A. 15
B. 60
C. 75
D. 120
E. 125


let w=quarts of water to be added
.75*300+w=.8(300+w)→
w=75 quarts
C
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Re: To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink] New post  22 Nov 2022, 15:46
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Bunuel wrote:
To dilute 300 quarts of a 25% solution of garlic to a 20% solution, how much water should a chef add?

A. 15
B. 60
C. 75
D. 120
E. 125


In the 300 quarts of the 25% solution, there are 300 * 0.25 = 75 quarts of garlic. If we add x quarts of water to the solution, the number of quarts of garlic will not change, but the total volume of the solution will increase by x quarts. We want the new concentration to be 20%, so we can write:

\(\Rightarrow\) 75/(300 + x) = 20/100

\(\Rightarrow\) 75/(300 + x) = 1/5

\(\Rightarrow\) 375 = 300 + x

\(\Rightarrow\) 75 = x

Answer: C
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Re: To dilute 300 quarts of a 25% solution of garlic to a 20% solution how [#permalink]
22 Nov 2022, 15:46
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