Chocolate

I have a box of chocolate - white, milk and dark. The ratio of white to milk with dark is 3: 4. The ratio of white and milk to dark is 17: 4. Calculate what is the ratio between white, milk, dark chocolate.

Result

p = (Correct answer is: 9/8:4)

Solution:

$b/(m+t)=3/4 \ \\ (b+m)/t=17/4 \ \\ \ \\ b:m:t=? \ \\ \ \\ 4b=3m+3t \ \\ 4b+4m=17t \ \\ \ \\ 9m=8b \ \\ 9t=4b \ \\ \ \\ b:m=9:8 \ \\ b:t=9:4 \ \\ \ \\ p=9:8:4$

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