a.
To write the system of equations representing the situation
a.
Answer to Problem 34PFA
Explanation of Solution
Given:
Number of people who attended the seminar: 114
There were twice as many women as men at the seminar.
Calculation:
Let m denote the number of men and w denote the number of women.
Total number of people who attended the seminar included men and women
Also given that there were as many women as men at the seminar.
Conclusion:
The system of equations is
b.
To find which equation represents the substitution method
b.
Answer to Problem 34PFA
Explanation of Solution
Given:
From subpart (a),
The system of equations is
Calculation:
Let,
Substitute (2) in (1)
Conclusion:
Therefore, the correct option is
c.
To solve the system of equations
c.
Answer to Problem 34PFA
Men: 76
Women: 38
Explanation of Solution
Given:
From subpart (a),
The system of equations is,
Calculation:
From subpart (b),
Substitute the value of w in
Conclusion:
Therefore, there were 76 men and 38 women who attended the seminar.
Chapter 6 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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