Edwards recipe for fudge uses a ratio of 2 1/4 cups of nuts to 1/2 lb of fudge how do I write a complex fraction to write a rate comparing the amount of nuts to the amount of fudge and how do I use the unit rate to to determine how many cups of nuts are needed to make i lb of fudge?

So 2 1/4 nuts to 1/2 fuge

to make it more manageable, mutiply by 4

9 nuts is to 2 fuge

nuts:fuge

9:2

so

if you are given x amound of fuge, solve for y amount of nuts

for every 2 nuts, 9 fuge

for every 1 nuts 4 1/2 fuge

so

x times 4 1/2=fuge

4.5x=y

since you want to use i as the placeholder,

4.5i=nuts

note:4.5i means 4.5 times i