Kevin uses 2 and 1/4 cups of ravens for every half cup of peanuts when making a snack mix how many cups of raisins does Kevin use for 1 cup of peanuts show work

Respuesta :

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.