SOLUTION: You have a jar of red marbles and a jar of yellow marbles. You take several(any number you like) red marbles and transfer them to the yellow marble jar and mix them in. Then you ra

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Question 113745: You have a jar of red marbles and a jar of yellow marbles. You take several(any number you like) red marbles and transfer them to the yellow marble jar and mix them in. Then you randomly take the same number of marbles as you took before, but this time from the yellow(mixed)jar, and transfer them to the red jar. Which of the following is true?
a) there are now more red marbles in the yellow jar than there are yellow marbles in the red jar.
b)there are more yellow marbles in the red jar than there are red marbles in the yellow jar.
c)the number of reds in the yellow jar equals the number of yellows in the red jar.
Using either algebraic and diagram with word eexplanation, show why your choice of answers above is correct.
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
C IS THE CORRECT ANSWER.
LETS TAKE 5 REDS FROM THE RED JAR & PUT THEM IN THE YELLOW JAR.
WE NOW HAVE R-5 IN THE RED JAR & Y+5R IN THE YELLOW JAR.
NOW SUPPOSE WE JUST TAKE 1 RED & 4 YELLOW FROM THE YELLOW JAR & PUT THEM IN THE RED JAR.
WE NOW HAVE R-5+1=R-4 IN THE RED JAR PLUS 4 YELLOW IN THE RED JAR
WE ALSO HAVE Y-4+(5R-1) OR Y-4+4R IN THE YELLOW JAR.
SO WE HAVE 4 YELLOW IN THE RED JAR & 4 RED IN THE YELLOW JAR.