To create a 37% acetone nail polish remover solution totaling 30 oz, 9 ounces of pure acetone needs to be mixed with 21 ounces of a 10% acetone solution.
The student is asking how to create a 37% acetone solution by mixing pure acetone with a 10% acetone solution to obtain a total of 30 oz of the mixture. We are dealing with a mixture problem that can be solved by using the concept of the concentration of solutions and algebraic equations to find the amount of each component needed.
Let x represent the amount of pure acetone needed. Since the final mixture should have a concentration of 37%, we can establish the following equation:
0.10(30 - x) + x = 0.37(30)
Solving this equation for x will give us the amount of pure acetone needed. Simplifying the equation, we get:
3 - 0.10x + x = 11.1
0.90x = 8.1
x = 9 ounces
Therefore, 9 ounces of pure acetone is required to be combined with 21 ounces of the 10% acetone solution to make 30 ounces of a 37% nail polish remover solution.
Complete question is:
Nail polish remover is essentially a mixture of water and a chemical called acetone.
How much pure acetone must be combined with a solution that is 10% acetone to make 30 oz of a 37% solution?