Question

Paula baked 10 cookies with 2 scoops of flour. How many scoops of flour does Paula need in order to bake 20 cookies? Assume the relationship is directly proportional.

Answer 1

Given:

Paula baked 10 cookies with 2 scoops of flour

We will find the number of scoops to bake 20 cookies

The relationship is directly proportional

So, if we assume the number of scoops = x, the number of cookies = y

So, the relation will be as follows:

`y=kx`

The value of (k) will be as follows:

`\begin{gathered} y=10,x=2 \\ k=(y)/(x)=(10)/(2)=5 \\ \\ y=5x \end{gathered}`

Now, substitute with y = 20, to find (x)

`\begin{gathered} 20=5x\rightarrow(/5) \\ x=(20)/(5)=4 \end{gathered}`

So, the answer will be:

The number of scoops of flour = 4