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Wyatt, a chemist at a chemical supply company, has carefully measured out gallons of a solution containing acetone. He also has access to unlimited quantities of a acetone solution. How many gallons of the acetone solution must Wyatt add to the acetone solution to create a solution that contains acetone?Write your answer as a whole number or as a decimal rounded to the nearest tenth.____ gallons
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Q. Wyatt, a chemist at a chemical supply company, has carefully measured out gallons of a solution containing acetone. He also has access to unlimited quantities of a acetone solution. How many gallons of the acetone solution must Wyatt add to the acetone solution to create a solution that contains acetone?Write your answer as a whole number or as a decimal rounded to the nearest tenth.____ gallons
- Define 'x' gallons: Let's call the amount of solution we need to add ＂＂ gallons.
- Calculate acetone in % solution: The amount of acetone in the % solution is gallons * , which is gallons of acetone.
- Calculate acetone in % solution: The amount of acetone in the % solution is gallons , which is gallons of acetone.
- Find total solution amount: The total amount of solution after adding gallons of solution is gallons + gallons.
- Calculate total acetone amount: The total amount of acetone after mixing both solutions is gallons + gallons.
- Set up equation for desired mixture: We want this mixture to be , so we set up the equation: .
- Convert percentage to decimal: Converting to a decimal, we get . So the equation becomes .
- Cross-multiply to eliminate fraction: Cross-multiply to get rid of the fraction: .
- Distribute the decimal: Distribute the : .
- Solve for x: Subtract from both sides to get: .
