Question

Sophia‘s favorite homemade cookie recipe requires one cup of chocolate chips for 10 servings if the number of cups required for multiple batches is proportional to the number of servings being made how many cups of chocolate chips will she need to make enough cookies for 30 servings

Answer 1

3 cups

Explanation:

We can use ratios to solve

1 cup x cups

---------------- = ----------------

10 servings 30 servings

Using cross products

1*30 = 10x

Divide by 10

30/10 = x

3 =x

3 cups

Answer 2

3 cups

Explanation:

We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches

`(c)/(b)`

`(1)/(10) = (c)/(30)`

We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)

`30 \cdot 1 = 30\\30 / 10 = 3`

Therefore, she needs 3 cups of chocolate chips to make 30 servings.