Define two variables, using words • Write a system of two algebraic equations for the problem using the variables you chose • Solve the system of equations algebraically, using your choice of the substitution or elimination method, showing supporting work • State the answer in sentence form, with appropriate units How many liters of a 25% alcohol solution and how many liters of a 12% alcohol solution must be mixed to create 13 liters of a 15% alcohol solution?
Define two variables, using words • Write a system of two algebraic equations for the problem using the variables you chose • Solve the system of equations algebraically, using your choice of the substitution or elimination method, showing supporting work • State the answer in sentence form, with appropriate units How many liters of a 25% alcohol solution and how many liters of a 12% alcohol solution must be mixed to create 13 liters of a 15% alcohol solution?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.4: The Addition-or-subtraction Method
Problem 5P
Related questions
Question
Define two variables, using words
• Write a system of two algebraic equations for the problem using the
variables you chose
• Solve the system of equations algebraically, using your choice of the
substitution or elimination method, showing supporting work
• State the answer in sentence form, with appropriate units
How many liters of a 25% alcohol solution and how many liters of a 12%
alcohol solution must be mixed to create 13 liters of a 15% alcohol solution?
Expert Solution
Step 1
Let the number of liters of 25% alcohol solution and 12% alcohol solution required be 'x' and 'y'
According to question,
x+y = 13 ............ (1)
0.25x + 0.12y = 0.15*13
=> 25x+12y = 195 ........... (2)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage