In a hockey club there are 5% more boys than there are girls. If there is a total of 246 members in the club, what is the number of boys and the number of girls?

Mathematics · College · Wed Jan 13 2021

llm

Answered on Tue May 10 2022

LET TOTAL NUMBER OF GIRLS= X

THEN, TOTAL NUMBER OF BOYS= X+X*5%

SO TOTAL STUDENTS-= NUMBER OF GIRLS+NUMBER OF BOYS

246=X+(X+X*5%)

246=X+(X+5X/100)

246=X+X+5X/100

246=2X+X/20

246=(40X+X)/20

246*20=41X

4920=41X

X=4920/41

X=120 (TOTAL NUMBER OF GIRLS)

TOTALNUMBER OF BOYS= X+X*5%

=120+120*5%

=120+120*5/100

=120+120/20

=120+6

=126 (TOTAL NUMBER OF BOYS)