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MathNet 2016-part-05 — 184 problems (EN–VI) Question 182

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 182

Water freezes at $0^\circ$ Celsius and boils at $100^\circ$ Celsius. On the SAMO scale, water freezes at $20^\circ$ and boils at $170^\circ$. The two scales are linearly related. What is the temperature on the SAMO scale if it is $80^\circ$ on the Celsius scale?