Question

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

Answer 1

For 1 cup of peanut Kevin will use
`(9)/(2) \ cups \ \ \ OR \ \ \ 4(1)/(2) \ cups` of raisins.

Explanation:

Given:

`(1)/(2)` cups of peanuts =
`2(1)/(4)` cups of raisin

`2(1)/(4)` can be rewritten as
`(9)/(4)`

`(1)/(2)` cups of peanuts =
`(9)/(4)` cups of raisin

We need to find number of cups of raisins used in 1 cup of peanut.

Solution:

Now we know that;

`(1)/(2)` cups of peanuts =
`(9)/(4)` 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 =
`((9)/(4))/((1)/(2))=(9)/(4)* (2)/(1) = (9)/(2) \ cup \ \ \ OR \ \ \ 4(1)/(2) \ cup`

Hence For 1 cup of peanut Kevin will use
`(9)/(2) \ cups \ \ \ OR \ \ \ 4(1)/(2) \ cups` of raisins.