A recipe requires 3/4 cup of nuts for 1 cake. what is the maximum number of cakes that can be made using 7 1/2 cups of nuts?

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Answer 1 · 2018-03-24T21:54:44

#10# cakes.

We need a ratio of cups of nuts to cakes. Luckily, the problem gives the ratio of nuts:cake --

#3/4:1#

So, if #3/4# cup of nuts #= 1# cake, to determine how many cakes are made with #7 1/2# cups of nuts, we must first divide #7 1/2# by #3/4:#

First, put #7 1/2# in improper fraction form:

#7 1/2 = ((7*2)+1)/2=15/2#

#15/2 / 3/4=15/2*4/3=10#

The result is #10# cakes.

Answer 2 · 2018-03-24T21:56:42

10 cakes

Let's set up a proportion with #c# representing the unknown number of cakes that can be made with #7 1/2# cups of nuts

#(3/4)/1=(7 1/2)/c rarr# Cups of nuts over number of cakes made

#3/4*c=7 1/2*1 rarr# Cross multiply

#3/4c=7 1/2 rarr# Divide #3/4# from each side

#7 1/2=15/2#

#(15/2)/(3/4)#

#c=15/2*4/3#

#c=(15*4)/(2*3)#

#c=60/6#

#c=10#