In a hockey club there are 5% more boys than there are girls. If there is a total of246 members in the club, what is the number of boys and the number of girls? HOW WOULD I WORK THIS OUT
Accepted Solution
A:
Determine the percentage of boys and the percentage of girls in the club. For an instance, pb stands for percentage of boys, and pg stands for percentage of girls. pb + pg = 100%
There are 5% more boys, pb = pg + 5% Input to the previous equation to find the percentage of the girls pb + pg = 100% pg + 5% + pg = 100% 2pg + 5% = 100% 2pg = 100% - 5% 2pg = 95% --------------- divide each side by 2 pg = 47.5%
Substitute the percentage of girls to either equations to find the percentage of the boys pb = pg + 5% pb = 47.5% + 5% pb = 52.5%
Find the number of the boys and the girls The boys b = pb × total members b = 52.5% × 246 b = 0.525 × 246 b = 129.15 Because the number of people couldn't be a fraction, round to the nearest whole number b = 129