Carrie wanted to make pudding for dessert for her family. however, she 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. the recipe for eight called for one and a fourth cups of raisins. how many cups of raisins will she need for four people?

The number of cups of raisins will she need for four people is:

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:

i.e.

Hence, the number of cups of raisins she used for 4 people is:

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)