#970 · Algebra · Sequences & series
Capacity of a wine cask after two dilutions
A cask full of wine has gallons drawn out, then is refilled with water. Again gallons of the resulting mixture are drawn out and the cask is refilled with water. If after these operations the ratio of wine to water in the cask is , find the total capacity of the cask (in gallons).
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. II. Proportion, Examples II, No. 21
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).