Concept explainers
To translate: Each of the two given problem related to a jury of men and women into an equation and also find the number of men in the jury
Answer to Problem 3P
The number of men in the jury is
Explanation of Solution
Given Information:
The statements
(1) There were 12 people in a jury
(2) The number of men in the jury is 4 more than the number of women
The given statements express the relation between the number of men and women in a jury.
1. The first statement implies the total number of people in a jury which is 12.
2. The second statement implies the relation between the number of men and women .
Now, to convert these statements into suitable equation, one of the count is to be assigned a variable and the other count to be expressed in terms of the first variable.
Let the number of women in the jury be x
(A) Based on the statement in (2), the number of men is x+ 4.
(B) Now, as per statement (1), the equation connecting the number of men and women can be written as,
Solving the above equation leads to the number of women in the jury. The solution is,
This gives the number of women as 4. Now, based on the relation in (A), the number of men in the jury is given by,
Chapter 1 Solutions
Algebra: Structure And Method, Book 1
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