Question

Dani buys a juice concentrate that requires a ratio of 3 cups of water to 1 cup of concentrate. Which equation could be used to fine c, the number of cups of water that Dani should use with 6 cups of concentrate

Answer 1

Dani buys a juice concentrate that requires a ratio of 3 cups of water to 1 cup of concentrate.

So we can write this ratio as

$\frac{1}{3}$

Now let c denotes the number of cups of water.

So we need to find c that is used for 6 cups of concentrate.

Again, we can write this ratio as

$\frac{6}{c}$

Now let us equate them together,

$\frac{1}{3}=\frac{6}{c}$

If we perform the cross multiplication then

$\begin{gathered} c\times1=6\times3 \\ c=6\times3 \\ c=18 \end{gathered}$