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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?

Sagot :

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