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0.15x + 0.05y = 2 \quad (\text{since } 10\% \text{ of } 20 = 2)
From the first equation, $ y = 20 - x $. Substitute into the second: $ 0.15x + 0.05(20 - x) = 2 $. Simplify: $ 0.15x + 1 - 0.05x = 2 $ → $ 0.10x = 1 $ → $ x = 10 $. Then $ y = 10 $. Thus, $ \boxed{10} $ liters of each solution are needed.
Question: A historian of science studies the cooling of a 17th-century thermometer, modeled by $ T(t) = 20 + 80e^{-0.1t} $. Find the time $ t $ when the temperature reaches 40°C.

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