QUESTION IMAGE
Question
to make an orange - flavored drink, noah mixes 4 scoops of powder with 6 cups of water. andre mixes 5 scoops of powder with 8 cups of water. a. create a double number line or a table that shows different amounts of powder and water that taste the same as noahs mixture.
Step1: Find the ratio of powder to water for Noah
Noah mixes 4 scoops of powder with 6 cups of water. The ratio of powder to water is $\frac{4}{6}=\frac{2}{3}$.
Step2: Generate equivalent - ratio amounts
Multiply the ratio by different non - zero whole numbers.
If we multiply by 2: Powder = $2\times2 = 4$, Water = $2\times3 = 6$ (this is the original ratio).
If we multiply by 3: Powder = $3\times2=6$, Water = $3\times3 = 9$.
If we multiply by 4: Powder = $4\times2 = 8$, Water = $4\times3=12$.
We can present this in a table:
| Scoops of Powder | Cups of Water |
|---|---|
| 4 | 6 |
| 6 | 9 |
| 8 | 12 |
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| Scoops of Powder | Cups of Water |
|---|---|
| 4 | 6 |
| 6 | 9 |
| 8 | 12 |