sophie makes homemade pizza dough. the recipe calls for 2 cups of flour for every $\frac{1}{3}$ cup of…

sophie makes homemade pizza dough. the recipe calls for 2 cups of flour for every $\frac{1}{3}$ cup of water. what is the rate in cups of flour per cup of water that sophie uses? c of flour per c of water pizza dough recipe flour (c) 0 2 water (c) 0 $\frac{1}{3}$

sophie makes homemade pizza dough. the recipe calls for 2 cups of flour for every $\frac{1}{3}$ cup of water. what is the rate in cups of flour per cup of water that sophie uses? c of flour per c of water pizza dough recipe flour (c) 0 2 water (c) 0 $\frac{1}{3}$

Answer

Answer:

6

Explanation:

Step1: Set up the rate - calculation

We know that for $\frac{1}{3}$ cup of water, 2 cups of flour are used. We want to find the amount of flour per 1 cup of water. Let the rate be $r$. The rate formula is $r=\frac{\text{amount of flour}}{\text{amount of water}}$. Here, when water $w = \frac{1}{3}$ cup and flour $f = 2$ cups, $r=\frac{f}{w}$.

Step2: Calculate the rate

We substitute $f = 2$ and $w=\frac{1}{3}$ into the formula $r=\frac{f}{w}$. So $r=\frac{2}{\frac{1}{3}}$. According to the rule of dividing by a fraction ($a\div\frac{b}{c}=a\times\frac{c}{b}$), we have $r = 2\times3=6$ cups of flour per cup of water.