In the lab, Dante has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol, He uses 400 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 5% alcohol solution? Number of milliliters of Solution B:
In the lab, Dante has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol, He uses 400 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 5% alcohol solution? Number of milliliters of Solution B:
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The solution has to be a chart like this to find the answer. That’s the way they want us to solve it thank you
![In the lab, Dante has two solutions that contain alcohol and is mixing them with each other. Solution A is 12% alcohol and Solution B is 7% alcohol. He uses 400 milliliters of Solution A. How many milliliters of Solution B does he use if the resulting mixture is a 9% alcohol solution?
**Number of milliliters of Solution B:** [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2afdb793-7012-417a-ba1a-2c4d4df308a5%2F671699b8-15bf-4f32-99c1-00bc7fb0f243%2For6g5o5h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the lab, Dante has two solutions that contain alcohol and is mixing them with each other. Solution A is 12% alcohol and Solution B is 7% alcohol. He uses 400 milliliters of Solution A. How many milliliters of Solution B does he use if the resulting mixture is a 9% alcohol solution?
**Number of milliliters of Solution B:** [ ]
![### Investment Profit Calculation
The table and subsequent calculations explain how profit from investment funds is determined.
**Table Details:**
| Fund | Amount Invested | Profit Percent | Profit Amount |
|-----------------|-----------------|----------------|------------------|
| Fund A | 4x | 4% | 0.04(4x) |
| Fund B | x | 2% | 0.02x |
| Total | - | - | 1080 |
**Explanation:**
The total profit is the sum of the profits from Fund A and Fund B. The formula for the total profit is given by:
\[ 0.04(4x) + 0.02x = 1080 \]
**Steps to Solve:**
1. Distribute and simplify the equation:
\[ 0.16x + 0.02x = 1080 \]
2. Combine like terms:
\[ 0.18x = 1080 \]
3. Solve for \( x \):
\[ x = \frac{1080}{0.18} \]
\[ x = 6000 \]
Thus, the amount invested in Fund B is $6000, and the amount invested in Fund A is 4 times $6000, which is $24000.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2afdb793-7012-417a-ba1a-2c4d4df308a5%2F671699b8-15bf-4f32-99c1-00bc7fb0f243%2Fly60wuf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Investment Profit Calculation
The table and subsequent calculations explain how profit from investment funds is determined.
**Table Details:**
| Fund | Amount Invested | Profit Percent | Profit Amount |
|-----------------|-----------------|----------------|------------------|
| Fund A | 4x | 4% | 0.04(4x) |
| Fund B | x | 2% | 0.02x |
| Total | - | - | 1080 |
**Explanation:**
The total profit is the sum of the profits from Fund A and Fund B. The formula for the total profit is given by:
\[ 0.04(4x) + 0.02x = 1080 \]
**Steps to Solve:**
1. Distribute and simplify the equation:
\[ 0.16x + 0.02x = 1080 \]
2. Combine like terms:
\[ 0.18x = 1080 \]
3. Solve for \( x \):
\[ x = \frac{1080}{0.18} \]
\[ x = 6000 \]
Thus, the amount invested in Fund B is $6000, and the amount invested in Fund A is 4 times $6000, which is $24000.
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