Question

two families are saving up for a summer trip the smith family originaly has 1000 dollars and will save 50 dollars every week the jones family originaly 500 dollars and will save 75 dollars a week after how many weeks will the two familys have saved up the same amount of money please explain.

Answer 1

1000 + 50x = 500 + 75x

First move 500 by subtracting it from 1000.
500 + 50x = 75x

Now subtract 50x from 75x.
500 = 25x

Then divide 500 by 25.
20 = x

They would've saved the same amount($2,000) on the 20th week.