[tex]22 \text{ bottles = } \dfrac{14}{19}[/tex]
[tex]1\text{ bottle = } \dfrac{14}{19} \div 22 = \dfrac{14}{19} \times \dfrac{1}{22} = \dfrac{7}{209}[/tex]
[tex]\text{ Number of bottles needed = } \dfrac{209}{7} = 29 \dfrac{6}{7}[/tex]
[tex]\text {Answer = } 29 \dfrac{6}{7} \text{ bottles}[/tex]
