The mean temperature of Monday to Wednesday was 37°C and of Tuesday to Thursday was 34°C. If the temperature on Thursday was 4/5 that of Monday, the temperature on Thursday was: Options : 36.5°C 36°C 35.5°C 34°C
Question
The mean temperature of Monday to Wednesday was 37°C and of Tuesday to Thursday was 34°C. If the temperature on Thursday was 4/5 that of Monday, the temperature on Thursday was:
Options : 36.5°C 36°C 35.5°C 34°C
Solution
Let's denote the temperatures of Monday, Tuesday, Wednesday, and Thursday as M, T, W, and Th respectively.
From the problem, we know that:
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The mean temperature from Monday to Wednesday (M, T, W) was 37°C. This gives us the equation: (M + T + W)/3 = 37. Simplifying this, we get M + T + W = 111.
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The mean temperature from Tuesday to Thursday (T, W, Th) was 34°C. This gives us the equation: (T + W + Th)/3 = 34. Simplifying this, we get T + W + Th = 102.
Subtracting the second equation from the first, we get M - Th = 9.
We also know from the problem that the temperature on Thursday was 4/5 that of Monday. This gives us the equation: Th = 4/5 * M.
Substituting Th from this equation into the equation M - Th = 9, we get M - 4/5 * M = 9. Solving this, we get M = 45.
Substituting M = 45 into the equation Th = 4/5 * M, we get Th = 4/5 * 45 = 36.
So, the temperature on Thursday was 36°C.
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