Question

Grace is making lemonade. The directions say to mix 7 cups of water with 3 scops of powdered lemonade mix. How many cups of water should she use with 6 scoops of lemonade mix?A) 7B) 10C) 14D) 20

Answer 1

To solve the exercise, we can use a rule of three, like this:

$\begin{gathered} 7\text{ cups of water }\rightarrow3\text{ scoops of powdered lemonade mix} \\ x\text{ cups of water }\rightarrow6\text{ scoops of powdered lemonade mix} \end{gathered}$$\begin{gathered} x=\frac{7\text{ cups of water}\cdot6\text{ scoops of powdered lemonade mix}}{3\text{ scoops of powdered lemonade mix}} \\ x=\frac{7\text{ cups of water}\cdot6}{3} \\ x=\frac{7\cdot6}{3}\text{ cups of water} \\ x=\frac{42}{3}\text{ cups of water} \\ x=14\text{ cups of water} \end{gathered}$

Thus, she should use 14 cups of water with 6 scoops of lemonade mix.