SOLUTION: Sara has a bag with 10 red marbles and 12 white marbles. When she draws out a red marble, she puts the marble back and adds 5 more red marbles. When she draws out a white marble, s

Question 257632: Sara has a bag with 10 red marbles and 12 white marbles. When she draws out a red marble, she puts the marble back and adds 5 more red marbles. When she draws out a white marble, she puts the marble back and adds 3 more white marbles. After how many rounds of draws, replacements, and additions will the bag contain exactly 43 marbles?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
43=10+5x+12+3y
43=22+5x+3y
21=5x+3y
x=3 y=2
2 draws of white and 3 draws of red
or just 7 draws of white and zero red draws
21-5x=3y
7-5/3x=y

RELATED QUESTIONS
In a bag of 10 marbles, there are 5 blue marbles, 3 red marbles, and 2 white marbles.... (answered by stanbon)

In bag there are 3 green marbles, 2 red marbles, 2 blue marbles, and 5 yellow marbles.... (answered by edjones)

I have a probability question: Sam has a bag that contains 12 clear marbles and 6 red... (answered by Fombitz)

Jack has a bag that contains 12 clear marbles and 6 red marbles. He randomly draws 2... (answered by ikleyn)

A bag contains 8 white marbles, 4 black marbles, and 3 red marbles. You pick out a... (answered by ikleyn)

a bag contains eight green marbles, five white marbles and two red marbles. what is the... (answered by Fombitz)

if jane has 100 marbles. 25 white marbles and 35 red ones and the rest blue. is she... (answered by stanbon)

A bag contains 3 blue marbles, 4 red marbles, and 3 white marbles. You draw a marble from (answered by timvanswearingen)