A 30-ounce solution is 20% alcohol. If 70 ounces of water are added to it, what percent of the new solution is alcohol?
6%
12%
20%
30%
30 + 70 = 100 oz
0.2 * 30 = 6
6 / 100 * 100 = 3 / 50 = 0.06 = 6%
Is the water distilled, or did it pass through a horse first?
To solve this problem, we can use the concept of mixture equations.
Step 1: Determine the amount of alcohol in the original solution.
The original solution is 30 ounces and contains 20% alcohol.
So, the amount of alcohol in the original solution is 30 * 0.2 = 6 ounces.
Step 2: Determine the total volume of the new solution.
When 70 ounces of water are added to the original solution, the total volume of the new solution becomes 30 + 70 = 100 ounces.
Step 3: Determine the amount of alcohol in the new solution.
The amount of alcohol in the new solution remains the same at 6 ounces because the water does not contain any alcohol.
Step 4: Calculate the percentage of alcohol in the new solution.
To find the percentage, divide the amount of alcohol in the new solution by the total volume of the new solution and multiply by 100.
(6 ounces / 100 ounces) * 100 = 6%
Therefore, the percent of alcohol in the new solution is 6%.
To find the answer, we need to calculate the amount of alcohol in the final solution and then determine what percentage it represents.
First, let's find the amount of alcohol in the initial 30-ounce solution. We know that this solution is 20% alcohol. So, we can calculate it as follows:
Alcohol in initial solution = 20% of 30 ounces
= (20/100) * 30
= 6 ounces
Next, we need to find the total volume of the final solution. If 70 ounces of water are added to the initial solution, then the final solution would have a total volume of:
Total volume of final solution = Initial solution volume + Water volume
= 30 ounces + 70 ounces
= 100 ounces
Now, let's find the percentage of alcohol in the final solution. We can calculate it as follows:
Percentage of alcohol in final solution = (Alcohol in final solution / Total volume of final solution) * 100
To find the alcohol in the final solution, we need to consider that the amount of alcohol remains the same after adding water. So, the alcohol content in the final solution would still be 6 ounces.
Thus, the percentage of alcohol in the final solution is:
Percentage of alcohol in final solution = (6 ounces / 100 ounces) * 100
= 6%
Therefore, the correct answer is 6%.