In a class of 50 students, the number of women is 2 more than five times the number of men. How many women are in the class?

The key is to define your variables.

number of men ---- x
number of women ---- 5x + 2

Now it is easy, let me know what you got.

Let no. of men be x

No. of women = 5x + 2

Total students = No. of men + women
50=x + 5x+2
48=6x
x=8
No. of women = 5x + 2
= 5 * 8 + 2
=42 (ans)

To solve this problem, we can use algebra.

Let's assume the number of men in the class is represented by the variable 'M'.

According to the given information, the number of women is 2 more than five times the number of men. In other words, the number of women is 5M + 2.

The total number of students in the class is 50, so we can set up the equation:

M + (5M + 2) = 50

To solve this equation, we combine like terms:

6M + 2 = 50

Next, we isolate the M-term by subtracting 2 from both sides of the equation:

6M = 50 - 2

Simplifying further:

6M = 48

Finally, we solve for M by dividing both sides of the equation by 6:

M = 48 / 6

M = 8

We found that the number of men in the class is 8.

Now, we can substitute this value back into the expression for the number of women:

Number of women = 5M + 2
Number of women = 5(8) + 2
Number of women = 40 + 2
Number of women = 42

Therefore, there are 42 women in the class.