Question

a recipe for cookies calls for 1/4 cup of brown sugar for one batch how many batches can be made with 3/8 cups of brown sugar

Answer 1

1) Gathering the data

1/4 cup of brown sugar ------ 1 batch

3/8 ---------------------------------- x

2) Let's solve this problem by setting a proportion to solve this:

1/4 cup of brown sugar ------ 1 batch

3/8 ---------------------------------- x

Since it is a proportion then we can cross multiply those fractions:

`\begin{gathered} (1)/(4)x=(3)/(8) \\ 8x=12 \\ \text{Divide both sides by 8} \\ x=(12)/(8)\text{ =}(3)/(2) \end{gathered}`

3) So with 3/8 cups of sugar, we can make 3/2 batches or 1.5 batches