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

**Step 1. Identify the ratio.**  
The instructions tell us that for every $$2$$ tablespoons of iced tea mix, Paola uses $$1$$ cup of water. That is, the ratio is  
$$
2 \text{ tablespoons} : 1 \text{ cup}
$$

**Step 2. Set up the proportion.**  
We are given $$18$$ tablespoons of iced tea mix. Let $$x$$ represent the number of cups of water required. Using the ratio, we have  
$$
\frac{2 \text{ tablespoons}}{1 \text{ cup}} = \frac{18 \text{ tablespoons}}{x \text{ cups}}
$$

**Step 3. Solve the proportion.**  
Cross-multiply to find $$x$$:
$$
2x = 18
$$
Divide both sides by $$2$$:
$$
x = \frac{18}{2} = 9
$$

**Step 4. Conclusion.**  
Paola needs $$9$$ 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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