Total quarts of tea available = 15 1/2
In improper fraction, that is:
![15(1)/(2)=(31)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/sigrtxm9nu5haip7zgpujatezs8blve4rg.png)
Each teacher will get = 7/8 quarts
To find the number of teachers, we divide total quarts of tea available by amount each teacher gets. Thus, we can:
![((31)/(2))/((7)/(8))](https://img.qammunity.org/2023/formulas/mathematics/college/8839lsbipxzojunl65u7fv05533djd1e6x.png)
To divide a fraction by another fraction, we multiply the fraction by the denominator fraction's reciprocal and get our answer to be (shown below):
![(31)/(2)*(8)/(7)=(124)/(7)=17.71](https://img.qammunity.org/2023/formulas/mathematics/college/k9ua50p6yzkpq4rxpvkokmhvyfhyz4fcb8.png)
Disregarding the fractional amount,
We can say, that 17 teachers can get 7/8 quarts each.
Answer: 17 teachers