SOLUTION: 36%, 32%, and 25% of three bags marbles are yellow put all of the bags into a bowl how much of the bowl of marble yellow

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 36%, 32%, and 25% of three bags marbles are yellow put all of the bags into a bowl how much of the bowl of marble yellow      Log On


   



Question 1203232: 36%, 32%, and 25% of three bags marbles are yellow put all of the bags into a bowl how much of the bowl of marble yellow
Found 4 solutions by greenestamps, math_tutor2020, ikleyn, mccravyedwin:
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Not enough information.

To get an answer, we need to know how many are in each bag; or, at the very least, we need to know the ratio of the numbers in each bag.


Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

IF each bag has the same amount of marbles, let's say 100 each, then the three bags have 36, 32, and 25 yellow marbles.

There would be 36+32+25 = 93 yellow marbles out of 100+100+100 = 300 marbles total

93/300 = 0.31 = 31% of all the marbles would be yellow IF each bag has the same amount of marbles.

If one of the bags has a different marble count, then the previous statements I mentioned wouldn't be valid. More information would be needed.

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

highlight%28highlight%28IF%29%29  it is known that the bags are equally populated, then the final percentage
        is the arithmetic mean of three input percentages.


highlight%28highlight%28IF%29%29  the info about the population of bags is not given, then the problem can not be solved, at all.


Such problems with insufficient given data usually/traditionally are considered
as  DEFECTIVE,  from the point of view of  Elementary  Math in  Primary school and in  Middle school.


It is  NOT  RECOMMENDED  to distribute defective problems in the Internet.


Posting defective problems is a form of mathematical impoliteness.



Answer by mccravyedwin(409) About Me  (Show Source):
You can put this solution on YOUR website!
I suspect there are a number of cases of posts on here by students whose first
language is not English, and they are translating their problems into English,
as best they can.  I would suspect this to be the case here upon seeing this
wording:
"how much of the bowl of marble yellow"
So perhaps we tutors should be a little nicer since we don't know the whole 
story behind these students and their posts.

Although I agree with the other tutors that the instructions here are
insufficient, I think there should be problems just like this one where the
answer is not a number, but an expression in terms of literal quantities chosen
by the student.  For all we can tell, the instructor intended the problem to be
done this way, and he/she made those instructions clear in class.

Perhaps the student was supposed to solve the problem this way:
 
Let r = the number of marbles that were in the first bag.
Let s = the number of marbles that were in the second bag.
Let t = the number of marbles that were in the third bag.
So there are r+s+t marbles in the bowl.

Therefore we have the following:
The number of yellow marbles that were in the first bag = 0.36r.
The number of yellow marbles that were in the second bag = 0.32s.
The number of yellow marbles that were in the third bag = 0.25t.
So there are 0.36r+0.32s+0.25t yellow marbles in the bowl.

Thus the fraction of yellow balls in the bowl is given by the
expression:

%280.36r%2B0.32s%2B0.25t%29%2F%28r%2Bs%2Bt%29  <---answer

Edwin