2. Suppose Paola uses 18 tablespoons of iced tea mix. How many cups of water does she need to use?

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UpStudy AI · Accepted Answer

Let the ratio of iced tea mix to water be  
$$
2\text{ tablespoons mix} : 1\text{ cup water}.
$$
This means that for every 2 tablespoons of mix, Paola uses 1 cup of water.

We are told Paola uses 18 tablespoons of mix. Let $$ x $$ be the number of cups of water needed. Setting up the proportion we have

$$
\frac{2\text{ tbsp}}{1\text{ cup}} = \frac{18\text{ tbsp}}{x\text{ cups}}.
$$

To solve for $$ x $$, cross-multiply:

$$
2x = 18.
$$

Now, divide both sides by 2:

$$
x = \frac{18}{2} = 9.
$$

Thus, Paola needs $$ \boxed{9} $$ cups of water.
Paola needs 9 cups of water.

Suppose Paola uses 18 tablespoons of iced tea
mix. How many cups of water does she need
to use?

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