For a school team to participate in a national competition, 50 percent of the team members should be female. And 50 percent of the team members should be male. Currently, the ratio of females to males is five to seven. If there are currently 360 students willing to take part in the national competition, how many more female students need to apply for the team to be able to participate in the competition?
We’re told that the current ratio of females to males is five to seven. We’re also told that we have a total of 360 students. To work out the number of females and males, we need to share 360 in the ratio five to seven. Five plus seven is equal to 12. This means that we have 12 parts in total. To work out how many students correspond to one part, we need to divide 360 by 12. 36 divided by 12 is equal to three. Therefore, 360 divided by 12 equals 30. 30 students represent one part of the ratio.
To calculate the number of females, we need to multiply five by 30. And to calculate the number of males, we need to multiply seven by 30. Five multiplied by 30 is equal to 150. And seven multiplied by 30 is equal to 210. There are currently 150 females and 210 males. In order to participate in the competition, 50 percent of the team members have to be female and 50 percent male. This means that we need the same amount of females as males. Subtracting 150 from 210 will tell us how many more males we currently have. 210 minus 150 is equal to 60.
This means that 60 more females are required for the school to be able to participate in the competition. If 60 more female students apply, there will be the same number of females and males.