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icang
1 month ago
14

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t

o find x, the number of gallons of water he should add?
Mathematics
2 answers:
lawyer [12.5K]1 month ago
6 0

Response:- 0.8/8+x=5/100

Detailed explanation:

zzz [12.3K]1 month ago
5 0

Answer: To achieve a 5% bleach solution, he needs to add 8 gallons of water.

Step-by-step explanation:

Let 'x' represent the gallons of water he is meant to add.

We know that

The total current volume is 8 gallons

Containing a 10% bleach solution, which is i.e. \frac{10}{100}\times 8=0.8\ gallon

The goal is to dilute it to a 5% bleach solution by incorporating additional water.

Consequently, the equation can be defined as,

\frac{Bleach}{Total}=\frac{0.8}{8+x}=\frac{5}{100}\\\\\frac{0.8}{8+x}=\frac{1}{20}\\\\20\times 0.8=8+x\\\\16=8+x\\\\x=16-8\\\\x=8\ gallons

Therefore, he should add 8 gallons of water to create a 5% bleach solution.

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