Bag Blue
A) How many marbles are there in the bag? B)How many more blue marbles are there than yellow marbles?
1/3 of a bag of marbles are yellow,5/12 of the marbles are blue and 4/5 of the remaining marbles are white...and there are 60white marbles!
Please look at the top for the questions and it is a maths problem please try to help thank you..
if i'm interpreting correctly, the marbles are in the same bag. hence all the proportions add together should be one. however
1/3 + 5/12 + 4/5 will not give you 1
60 / 4 * 5 will give a total of 75 marbles, however, if 1/5 is 15, 1/3 will be 25. 60 + 25 will be 85, exceeding the total amount allowed
Edit: I was not interpreting correctly...
So, as the genius below pointed out, if the bag contain 1/3 Y and 5/12 of B, then Y + B = 9/12 or 75%
hence the remaining must be 3/12 or 25 %.
if 4/5 of the remaining 25% is white, then the proportion of white must be 4/5 * 25 = 20%
if 20% of the bag is 60, the total number must be 60 * 5 = 300 marbles.
back to the beginning, 1/3 of the bag is Y, therefore Y =1/3 * 300 = 100 marbles
5/12 of the bag is B, therefore B = 5/12 * 300 = 125 marbles
the conclusion is, there are 25 more Blue marbles than Yellow.
(the smart guy below also confirmed the answer by simultaneous equations with 3 variables which is another way to do it)
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