Question 155814
Let x=amount of nuts needed

Now we know that the value of the nuts(3x) and candy(6*30) before they are mixed has to equal the value of the nuts and candy after they are mixed(5*(30+x)), ok? ($ are understood) So, our equation to solve is:
3x+6*30=5(30+x)  get rid of parens and simplify

3x+180=150+5x  subtract 150 and also 3x from each side

3x-3x+180-150=150-150+5x-3x  collect like terms

30=2x  divide each side by 2

x=15 lb-------------amount of nuts needed

CK
3*15+6*30=5*45
45+180=225
225=225

Hope this helps---ptaylor