## anonymous 3 years ago 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?

1. anonymous

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 $$x$$

2. anonymous

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

3. anonymous

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