Question

Research was carried out in a graduation room in order to organize the traditional Graduation Ball, it was found that the ratio of women to the number of men is 5/4. If the total number of students in this class is 45 people, for prom and graduation, how many women would be left without a date?

a. 3
b. 4
c. 5
d. 6
e. 7

Answer 1

By solving the ratio 5:4 for a total of 45 students, there are 25 women and 20 men, meaning 5 women will be without a date at the graduation ball.

Step-by-step explanation:

The question involves finding out how many women would be left without a date at a graduation ball, given that the ratio of women to men is 5:4 and there are 45 students in total. To solve this, first calculate the number of women and men based on the given ratio.

With the ratio being 5 women for every 4 men, you can set up the equation 5x + 4x = 45, with x representing the equal parts of the ratio that add up to the total number of students. Solving for x gives you x = 5. Thus, there are 5x5 = 25 women and 5x4 = 20 men.

Every man can pair with a woman for a date, leaving the number of women without dates to be the difference between the number of women and men. Therefore, 25 women - 20 men = 5 women without dates. Hence, the correct answer is c. 5.