Question

There were 648 math educators that attended a math conference. The ratio of men to women at the math conference was 5 to 4. If x represents the number of men and y represents the number women, which system of equations should be set up to find out how many women attended the math conference?

Answer 1

Solve a system of equations using the totals provided and the given men to women ratio of 5 to 4, which yields two equations: x + y = 648 and 4x = 5y.

Step-by-step explanation:

To find out how many women attended the math conference, we need to set up a system of equations with two variables, x representing the number of men and y representing the number of women.

We are given that the total number of educators is 648 and the ratio of men to women is 5 to 4.

Thus, we can use the following system of equations:

• x + y = 648 (the sum of men and women is the total number of educators)
• x/y = 5/4 (the ratio of men to women)

To solve this system, we can multiply both sides of the second equation by 4y to clear the fraction, giving us 4x = 5y. Together with the first equation, we now have:

• x + y = 648
• 4x = 5y

From here, we can solve for y, which represents the number of women at the conference.