Minah and rohana had a total of $338. after minah saved $49 more and rohana spent half of her money, they both had the same about of money. how much did minah have at first? algebra is basic!

Total amount of money Minah and Rohana had = $338
Let us assume the amount of money Minah have initially = x dollars
Let us also assume the amount of money Rohana had initially = y
Then
x + y = 338
y = 338 - x
And
x + 49 = y/2
2x + 98 = y
2x - y = - 98
Now let us put the value of y found from the first equation in the second equation.
2x - y = - 98
2x - (338 - x) = - 98
2x + x - 338 = - 98
3x = 338 - 98
3x = 240
x = 240/3
   = 80 dollars
So the amount of money that Minah had at first is $80. I hope the procedure is clear enough for you to understand.