Question 1
SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.
The areas of ranches 1, 2 and 3 are $3\frac13$, $10$ and $24$ acres, respectively, where grass grows at constant rates. The first ranch can sustain 12 oxen for 4 weeks; the second can sustain 21 oxen for 9 weeks. For how many weeks will the third ranch sustain 36 oxen?
Practice assumptions: all ranches initially have the same grass quantity per acre and the same constant growth per acre; every ox eats at the same constant rate. These necessary modelling assumptions are not explicit in the source or its general instructions.
Enter the number only (an exact fraction is allowed).
The areas of ranches 1, 2 and 3 are $3\frac13$, $10$ and $24$ acres, respectively, where grass grows at constant rates. The first ranch can sustain 12 oxen for 4 weeks; the second can sustain 21 oxen for 9 weeks. For how many weeks will the third ranch sustain 36 oxen?
Practice assumptions: all ranches initially have the same grass quantity per acre and the same constant growth per acre; every ox eats at the same constant rate. These necessary modelling assumptions are not explicit in the source or its general instructions.
Enter the number only (an exact fraction is allowed).