Question 254123: There are two candy jars, each of which contains the same number of pieces of
candy. Bert takes 25 pieces of candy from the first jar and gives the rest to Karla, while Karla takes 17 pieces of candy from the second jar and gives the rest to Bert. When they are done, Karla discovers that Bert has more pieces of candy than she does. How many more pieces of candy does Bert have?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 254123
bert gets 25 pieces of candy.
then he gets x - 17
karla gets 17 pieces of candy.
then she gets x - 25
bert has a total of 25 + x - 17 pieces of candy.
karla has a total of 17 + x - 25 pieces of candy.
to see how many more pieces of candy bert has, subtract the number of pieces of candy that karla has from the number of pieces of candy that bert has.
25 + x - 17 - (17 + x - 25) = 25 + x - 17 - 17 - x + 25 = 50 - 34 = 16.
bert has 16 more pieces of candy than karla has.
x can be any value.
as an example, assume x is 50 and 100
when x = 50, bert gets 25 and gives karla 25
karla gets 17 and gives bert 33
bert has a total of 25 + 33 = 58
karla has a total of 17 + 25 = 42
58-42 = 16
when x = 100, bert gets 25 and gives karla 75
karla gets 17 and gives bert 83
bert has a total of 25 + 83 = 108
karla has a total of 17 + 75 = 92
108-92 = 16
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