Stage 8 - Q10 - 5 marks
18286
Challenge: a tank contains a whole number of litres greater than 5 and less than 20. Filling \(\frac{3}{4}\) L bottles leaves \(\frac{1}{4}\) L. Filling \(\frac{5}{6}\) L bottles instead leaves \(\frac{1}{6}\) L. Find the original volume and both full-bottle counts.
Hint
List the possible whole-number volumes from one remainder condition, then test the other.