#Algebra
zenith plinthBOT
vital crow
What have you tried already?
Someone correct me If I misunderstand here but if we strip the language out:
A + B = 8/11
which looks a lot more approachable. We currently know A, correct? A = 2/3
So, re-arranging the equation we get:
B = 8/11 - 2/3
Have you learnt about subtracting fractions? If not, we want to have the same denominator. We can find such a thing by finding a common factor between the two denominators.
11 and 3. There's a few solution here but one that jumps to mind is 33 is a shared factor. If we multiply 11 by 3 we get 33 and if we multiply 3 by 11 we get 33. We can use this information to make the denominators the same! Now, remember! What we do to the denominator, we must do to the numerator. So...
8/11 * top and bottom by 3 gives us 24/33.
2/3 * top and bottom by 11 gives us 22/33.
Which leaves us with things looking a bit nicer!
B = 24/33 - 22/33 = 2/33
We can test this by adding back B into the original equation
A + B = 8/11
2/3 + 2/33 = 8/11
Adding back the language from the original question,
The density of material B is 2/33 g/cm^(3)
Does that make sense?
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