A percentage is a way to describe a part of a whole. 20 gallons of water are needed to be mixed into the original solution.
<h3>What are Percentages?</h3>
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The concentration of the original solution is 15%, while the quantity is 10 gallons. Therefore, the amount of juice in the original solution is,
Amount of juice in original solution = 15% of 10 gallons
= 0.15 × 10 gallons
= 1.5 gallons
Now, let the amount of water mixed be x gallons in the original solution, then we can write,
5% of the mixed solution = 1.5 gallons
Mixed Solution = 1.5 /0.05
Mixed solution = 30 gallons
Therefore, the volume of the mixed solution is 30 gallons, while the volume of the original solution was 10 gallons.
Hence, 20 gallons of water are needed to be mixed into the original solution.
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