The number of cups of raisins will she need for four people is:
[tex]\dfrac{5}{8}\ cups[/tex]
It is given that:
Carrie couldn't find a recipe that would make four servings. She decided to use a recipe for eight servings and use only half as much of each ingredient.
i.e. she is using half actual amount which is given for the 8 servings.
Now, it is given that:
The recipe for eight called for one and a fourth cups of raisins.
i.e. the cup of raisins used for eight servings is: [tex]1\dfrac{1}{4}\ cups[/tex]
i.e.
[tex]1\dfrac{1}{4}\ cups=\dfrac{1\times 4+1}{4}\cups\\\\i.e.\\\\1\dfrac{1}{4}\ cups=\dfrac{5}{4}\ cups[/tex]
Hence, the number of cups of raisins she used for 4 people is:
[tex]=\dfrac{1}{2}\times \dfrac{5}{4}\ cups\\\\\\=\dfrac{5}{8}\ cups[/tex]
