A mixture is 20% red paint, 35% yellow paint, and 45% water. If 5 quarts of red paint are added to 20 quarts of the mixture, what is the percentage of red paint in the new mixture?
20% of 20 quarts is 4 qt.
Adding 5 qt of red will make
9/25 = 36% red
A giant pumpkin is 90% water and weighs 250 pounds. The pumpkin is placed on
display as the largest pumpkin of the year at the LA county fair. During the week-long
fair, the pumpkin loses water from being outside in the heat. At the end of the week,
the pumpkin is only 80% water. How much does the pumpkin weigh at the end of the
week?
To find the percentage of red paint in the new mixture, we need to calculate the total volume of the new mixture and the amount of red paint in it.
Given:
- Original mixture: 20% red paint, 35% yellow paint, and 45% water.
- Adding 5 quarts of red paint to 20 quarts of the mixture.
Step 1: Calculate the total volume of the new mixture.
The original mixture contains 20 quarts, and we're adding 5 quarts of red paint.
Total volume of the new mixture = 20 quarts + 5 quarts = 25 quarts.
Step 2: Calculate the volume of red paint in the new mixture.
Since the original mixture is 20% red paint, we can find the amount of red paint in the original 20 quarts as:
Volume of red paint in the original mixture = (20/100) * 20 quarts = 4 quarts.
Now, we're adding 5 quarts of red paint to this, so the total volume of red paint in the new mixture = 4 quarts + 5 quarts = 9 quarts.
Step 3: Calculate the percentage of red paint in the new mixture.
The new mixture has a total volume of 25 quarts, and the volume of red paint in it is 9 quarts.
Percentage of red paint in the new mixture = (9/25) * 100% = 36%.
Therefore, the percentage of red paint in the new mixture is 36%.
To find the percentage of red paint in the new mixture, we need to first determine the total volume of the new mixture after adding 5 quarts of red paint.
Given that the mixture consists of 20% red paint, 35% yellow paint, and 45% water, we can determine that the total volume of the mixture is made up of 20% + 35% + 45% = 100%.
Let's assume the total volume of the mixture is "x" quarts. Since the percentage of red paint in the mixture is 20%, we can calculate the amount of red paint present in the original mixture as 20% of "x" quarts.
Therefore, the amount of red paint in the original mixture is (20/100) * x = 0.2x quarts.
Now, if we add an additional 5 quarts of red paint to the mixture, the total amount of red paint in the new mixture will be 0.2x + 5 quarts.
The total volume of the new mixture will be (x + 5) quarts, as we added 5 quarts of red paint to the original mixture.
To find the percentage of red paint in the new mixture, we divide the amount of red paint in the new mixture by the total volume of the new mixture, and then multiply by 100 to get the percentage:
Percentage of red paint in new mixture = (0.2x + 5) / (x + 5) * 100
However, since x is not known, we cannot directly calculate the exact percentage. The answer will be expressed in terms of x, the total volume of the original mixture.