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:

$\begin{gathered} y=10,x=2 \\ k=\frac{y}{x}=\frac{10}{2}=5 \\ \\ y=5x \end{gathered}$

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

$\begin{gathered} 20=5x\rightarrow(\div5) \\ x=\frac{20}{5}=4 \end{gathered}$

So, the answer will be:

The number of scoops of flour = 4