<span>the football team has 30 more players than the basketball
team, so the number of players on the football team is x= 30 + y.
Then you have to add on the extra ten players to each team so that the ratio
fits. Now the football team is </span>
<span>10 + 30 + y (or 40 + y) and the basketball team is 10
+ y.
Next you need to divide the ratio by its respective parts since a third of the
football team is equal to half of the basketball team. So you end up with this
equation:
(40 + y)/3 = (10 + y)/2
multiply the three over to the other side to cancel it out. Same with
the two. So, now the equation is:
80 + 2y = 30 + 3y
Subtract the 30 from the 80 and the 2y from the 3y and you have your answer: y
= 50.
Go back up to the top where you found out that x = 30 + y and put the 50 in
place of the y, giving you x = 80</span>
