SOLUTION: Hi 28% of the paperclips in a box are purple.the rest sre blue and black in the ratio 13:5.if there are 102 more blue than black, how many blue and black are altogether. Thank

Question 1098358: Hi
28% of the paperclips in a box are purple.the rest sre blue and black in the ratio 13:5.if there are 102 more blue than black, how many blue and black are altogether.
Thanks
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There is probably a typo somewhere,
because there seem to be some broken paperclips in that box.
To calculate the answer, I do not care about the purple paperclips.
All I care about is that the ratio of blue to black paperclips is 13:5.
That means that there are blue paperclips and black ones,
for some positive number .
There are black and blue paperclips altogether,
and more blue paperclips than black paperclips.
It turns out that ,
so that and is the number v of blue and black paperclips altogether.

Now that I have a crazy answer,
I can have some fun calculating more crazy numbers.

The number of black paperclips is
;
the number of blue paperclips is
;
the number of purple paperclips is
,
and the total number of paperclips in the box is
.
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