Problema Solution
Mrs.Pascal told her students that she had placed a total of 36 marbles into a container and thate
Each of the marbles was red,blue,or white. She also told them that one-third of the marbles were red and that there were twice as many white marbles as blue marbles.
* how many red,white,and blue marbles in the container?
* explain how you determined your answers.make sure to use mathematical reasons based on example from the problem.
Answer provided by our tutors
red = r , blue = b, white = w
=> r + b + w = 36
(1) 1/3 of 36 = r => r = 12
(2) twice as many white marbles as blue marbles -> w = 2b
(since r = 12 => w + b = 36 - 12 = 24)
=> w + b = 24 (subtitute w =2b)
=> 2b+b =24 => 3b = 24 => b =8
=> w = 24 - b = 24 - 8 = 16
=> there are 12 red, 16 white, and 8 blues