1. **State the problem:**
We have a ratio of 3 grams of garlic powder to 15 grams of salt. We need to find two different unit rates and then find how many grams of garlic powder correspond to 10 grams of salt.
2. **Write the ratio:**
The ratio is $\frac{3}{15}$ (garlic powder to salt).
3. **Find unit rates:**
- Unit rate of garlic powder per gram of salt: $$\frac{3}{15} = \frac{\cancel{3}^1}{\cancel{15}^5} = \frac{1}{5}$$
- Unit rate of salt per gram of garlic powder: $$\frac{15}{3} = \frac{\cancel{15}^5}{\cancel{3}^1} = 5$$
4. **Interpret unit rates:**
- One unit rate is 1 gram of garlic powder per 5 grams of salt.
- Another unit rate is 5 grams of salt per 1 gram of garlic powder.
5. **Find grams of garlic powder for 10 grams of salt:**
Using the unit rate $\frac{1}{5}$ garlic powder per salt:
$$\text{Garlic powder} = 10 \times \frac{1}{5} = 2$$
**Final answers:**
- One unit rate: 1 gram garlic powder per 5 grams salt
- Another unit rate: 5 grams salt per 1 gram garlic powder
- Garlic powder needed for 10 grams salt: 2 grams
Unit Rates E179Ab
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