A chemist has two acid solutions. Solution A contains 10% acid, and solution B contains 30% acid. He will mix the two solutions to make 10liters of a third solution, solution C, containing 25% acid. The system of equations shown can be used to represent this situation. X + y = 10 0.10x + 0.30y = 2.5

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Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
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29
Use the information provided to answer Part A through Part D.
A chemist has two acid solutions. Solution A contains 10% acid, and solution B contains 30% acid. He will mix the two
(a)
solutions to make 10liters of a third solution, solution C, containing 25% acid.
The system of equations shown can be used to represent this situation.
X + y = 10
0.10x + 0.30y = 2.5
Part A
Which statement about the system of equations is true?
In the system of equations, x represents the number of liters of acid in solution A, and y represents the number of liters
A
of acid in solution B.
In the system of equations, x represents the number of liters of acid in solution B, and y represents the number of liters
of acid in solution A.
In the system of equations, x represents the number of liters of solution A in solution C, and y represents the number of
liters of solution B in solution C.
In the system of equations, x represents the number of liters of solution B in solution C, and y represents the number of
(D
liters of solution A in solution C.
Transcribed Image Text:29 Use the information provided to answer Part A through Part D. A chemist has two acid solutions. Solution A contains 10% acid, and solution B contains 30% acid. He will mix the two (a) solutions to make 10liters of a third solution, solution C, containing 25% acid. The system of equations shown can be used to represent this situation. X + y = 10 0.10x + 0.30y = 2.5 Part A Which statement about the system of equations is true? In the system of equations, x represents the number of liters of acid in solution A, and y represents the number of liters A of acid in solution B. In the system of equations, x represents the number of liters of acid in solution B, and y represents the number of liters of acid in solution A. In the system of equations, x represents the number of liters of solution A in solution C, and y represents the number of liters of solution B in solution C. In the system of equations, x represents the number of liters of solution B in solution C, and y represents the number of (D liters of solution A in solution C.
(b)
Part B
What does the expression 0.30y represent?
A the number of liters of acid in solution C that come from solution A
B the number of liters of acid in solution C that come from solution B
the number of liters of solution A in solution C
(D the number of liters of solution B in solution C
(c)
Part C
If the system of equations is graphed in a coordinate plane, what is the r-coordinate of the intersection of the two lines?
Enter your answer in the box.
Part D
What is the number of liters of solution B the chemist mixes with solution A to create solution C containing 25% acid?
Enter your answer in the box.
Transcribed Image Text:(b) Part B What does the expression 0.30y represent? A the number of liters of acid in solution C that come from solution A B the number of liters of acid in solution C that come from solution B the number of liters of solution A in solution C (D the number of liters of solution B in solution C (c) Part C If the system of equations is graphed in a coordinate plane, what is the r-coordinate of the intersection of the two lines? Enter your answer in the box. Part D What is the number of liters of solution B the chemist mixes with solution A to create solution C containing 25% acid? Enter your answer in the box.
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