SOLUTION: Two children had 110 marbles between them. After one child had lost half her marbles and the other lost 20, they both had the same amount of marbles. How many marbles did each star

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two children had 110 marbles between them. After one child had lost half her marbles and the other lost 20, they both had the same amount of marbles. How many marbles did each star      Log On


   

Question 939795: Two children had 110 marbles between them. After one child had lost half her marbles and the other lost 20, they both had the same amount of marbles. How many marbles did each start with and how much did they end up with?
Answer by lwsshak3(11628) About Me  (Show Source):
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Two children had 110 marbles between them. After one child had lost half her marbles and the other lost 20, they both had the same amount of marbles. How many marbles did each start with and how much did they end up with?
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let x=number of marbles 1st child started with.
110-x=number of marbles 2nd child started with.
..
x/2=110-x-20=90-x
x=180-2x
3x=180
x=60
110-x=50
number of marbles 1st child started with=60
number of marbles 2nd child started with=50
number of marbles both children ended with=30