How many pounds of nuts worth $1.10 per pound must be mixed with 36 pounds of candy worth $1.60 per pound to produce a party mix worth $1.50 per pound?

Question

anonymous · Answer

lets put the number of pounds to be added as $x$
at the moment you have 36 pounds, so if you add $x$ pounds you will have $36+x$ pounds
the 36 pounds are worth $36\times 1.6=57.6$ and adding $x$ pounds will give you a total price of $57.6+1.1x$ which you want to be $1.5\times (36+x)$ so set 
$$57.6+1.1x=1.5(36+x)$$ and solve for $x$

anonymous · Answer

probably easier to get rid of the annoying decimal by multiplying both sides by 10 and get 
$$576+11x=15(36+x)$$

anonymous · Answer

hope it is routine from there, if not let me know