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Answer :
To find out how many more full servings of kombucha tea than raspberry tea the Mainstreet Café has available, let's walk through the solution step by step.
1. Understand the Serving Size:
One full serving of tea at the café is defined as [tex]\(\frac{1}{13}\)[/tex] gallon.
2. Volume of Raspberry Tea:
According to the table, the café has [tex]\(\frac{3}{5}\)[/tex] gallon of raspberry tea.
3. Volume of Kombucha Tea:
The café has [tex]\(\frac{7}{8}\)[/tex] gallon of kombucha tea.
4. Calculate Full Servings of Each Tea Type:
- Raspberry Tea Servings:
To find out how many full servings can be obtained from [tex]\(\frac{3}{5}\)[/tex] gallon of raspberry tea, divide the volume by the serving size:
[tex]\[
\text{Raspberry servings} = \frac{\frac{3}{5}}{\frac{1}{13}} = \frac{3}{5} \times \frac{13}{1} = \frac{39}{5} = 7.8
\][/tex]
So, the café can serve approximately 7.8 full servings of raspberry tea.
- Kombucha Tea Servings:
Similarly, to find out how many full servings can be obtained from [tex]\(\frac{7}{8}\)[/tex] gallon of kombucha tea, divide the volume by the serving size:
[tex]\[
\text{Kombucha servings} = \frac{\frac{7}{8}}{\frac{1}{13}} = \frac{7}{8} \times \frac{13}{1} = \frac{91}{8} = 11.375
\][/tex]
So, the café can serve approximately 11.375 full servings of kombucha tea.
5. Calculate the Difference in Full Servings:
Now, to find out how many more full servings of kombucha tea are available compared to raspberry tea, subtract the number of raspberry servings from the number of kombucha servings:
[tex]\[
\text{Difference} = 11.375 - 7.8 = 3.575
\][/tex]
Therefore, the café has approximately 3.575 more full servings of kombucha tea than raspberry tea.
1. Understand the Serving Size:
One full serving of tea at the café is defined as [tex]\(\frac{1}{13}\)[/tex] gallon.
2. Volume of Raspberry Tea:
According to the table, the café has [tex]\(\frac{3}{5}\)[/tex] gallon of raspberry tea.
3. Volume of Kombucha Tea:
The café has [tex]\(\frac{7}{8}\)[/tex] gallon of kombucha tea.
4. Calculate Full Servings of Each Tea Type:
- Raspberry Tea Servings:
To find out how many full servings can be obtained from [tex]\(\frac{3}{5}\)[/tex] gallon of raspberry tea, divide the volume by the serving size:
[tex]\[
\text{Raspberry servings} = \frac{\frac{3}{5}}{\frac{1}{13}} = \frac{3}{5} \times \frac{13}{1} = \frac{39}{5} = 7.8
\][/tex]
So, the café can serve approximately 7.8 full servings of raspberry tea.
- Kombucha Tea Servings:
Similarly, to find out how many full servings can be obtained from [tex]\(\frac{7}{8}\)[/tex] gallon of kombucha tea, divide the volume by the serving size:
[tex]\[
\text{Kombucha servings} = \frac{\frac{7}{8}}{\frac{1}{13}} = \frac{7}{8} \times \frac{13}{1} = \frac{91}{8} = 11.375
\][/tex]
So, the café can serve approximately 11.375 full servings of kombucha tea.
5. Calculate the Difference in Full Servings:
Now, to find out how many more full servings of kombucha tea are available compared to raspberry tea, subtract the number of raspberry servings from the number of kombucha servings:
[tex]\[
\text{Difference} = 11.375 - 7.8 = 3.575
\][/tex]
Therefore, the café has approximately 3.575 more full servings of kombucha tea than raspberry tea.
Thank you for reading the article The Mainstreet Café has three types of tea in the amounts listed in the table The size of one full serving of tea at the. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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