Answer:
For 1 cup of peanut Kevin will use [tex]\frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups[/tex] of raisins.
Step-by-step explanation:
Given:
[tex]\frac{1}{2}[/tex] cups of peanuts = [tex]2\frac{1}{4}[/tex] cups of raisin
[tex]2\frac{1}{4}[/tex] can be rewritten as [tex]\frac{9}{4}[/tex]
[tex]\frac{1}{2}[/tex] cups of peanuts = [tex]\frac{9}{4}[/tex] cups of raisin
We need to find number of cups of raisins used in 1 cup of peanut.
Solution:
Now we know that;
[tex]\frac{1}{2}[/tex] cups of peanuts = [tex]\frac{9}{4}[/tex] cups of raisin
So 1 cup of peanut = number of cups of raisins used in 1 cup of peanut
Now by using Unitary method we get;
number of cups of raisins used in 1 cup of peanut = [tex]\frac{\frac{9}{4}}{\frac{1}{2}}=\frac{9}{4}\times \frac{2}{1} = \frac{9}{2} \ cup \ \ \ OR \ \ \ 4\frac{1}{2} \ cup[/tex]
Hence For 1 cup of peanut Kevin will use [tex]\frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups[/tex] of raisins.