Question

At a baseball game, there were three times as many males as females. 5/6 of the males were boys and the rest were men. 2/3 of the females were girls and the rest were women. Given that there were 121 more boys than girls, how many adults were there at the baseball game.

Answer 1

`x-females\\(2)/(3)x-girls\\(1)/(3)x-women\\3x-males\\(5)/(6)\cdot3x=(5)/(2)x-boys\\(1)/(6)\cdot3x=(1)/(2)x-men\\\\(5)/(2)x-121=(2)/(3)x\\\\(15)/(6)x-(4)/(6)x=121\\\\(11)/(6)x=121\ \ \ \ \ |\cdot(6)/(11)\\\\x=66\\\\(1)/(3)\cdot66=22\\\\(1)/(2)\cdot66=33\\\\33+22=55\\\\There\ were\ 55\ adults`