Question
There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?
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Answer to a math question There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?
Jon
4.6110 Answers
Let's represent the number of men as $x$ .
According to the given information, the number of women is 8 times the number of men. So, the number of women can be expressed as$8x$ .
The total number of students is the sum of the number of men and the number of women. Therefore, we can write the equation:
$Number \ of \ Men + Number \ of \ Women = Total \ Number \ of \ Students$
$x + 8x = 162$
Combining like terms, we get:
$9x = 162$
To solve for$x$ , we divide both sides of the equation by 9:
$\frac{9x}{9} = \frac{162}{9}$
Simplifying, we find:
$x = \frac{162}{9} = 18$
Therefore, there are 18 men in the basic mathematics course.
To find the number of women, we substitute the value of$x$ back into the equation:
$Number \ of \ Women = 8x = 8(18) = 144$
Answer: There are 144 women in the basic mathematics course.
According to the given information, the number of women is 8 times the number of men. So, the number of women can be expressed as
The total number of students is the sum of the number of men and the number of women. Therefore, we can write the equation:
Combining like terms, we get:
To solve for
Simplifying, we find:
Therefore, there are 18 men in the basic mathematics course.
To find the number of women, we substitute the value of
Answer: There are 144 women in the basic mathematics course.
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