Question

a) The average temperature of a town in the last week was 32°C. If the average temperature recorded daily from Sunday to Wednesday was 30°C and that of recorded daily from Wednesday to Saturday was 33°C, find the temperature of the town recorded on Wednesday.​

Answer 1

Using the given averages and days of the week, we can calculate that the temperature recorded on Wednesday was 28°C.

Step-by-step explanation:

To find the temperature of the town recorded on Wednesday, we can set up an equation. We know that the average temperature for the week (7 days) was 32°C. The equation for the average from Sunday to Wednesday (4 days) is 4(30°C), since the average for those days was 30°C. Similarly, for Wednesday to Saturday (4 days), the equation is 4(33°C), since the average temperature was 33°C. However, Wednesday is counted twice, so we need to subtract one Wednesday from the sum. Therefore, the equation is:

7(32°C) = 4(30°C) + 4(33°C) - Wednesday's temperature.

Let's solve it step by step:

1. Multiply the weekly average temperature by the number of days: 7 * 32°C = 224°C.
2. Multiply the average temperature from Sunday to Wednesday by 4: 4 * 30°C = 120°C.
3. Multiply the average temperature from Thursday to Saturday by 4: 4 * 33°C = 132°C.
4. Add the results from steps 2 and 3: 120°C + 132°C = 252°C.
5. Subtract this sum from the total weekly temperature: 224°C - 252°C = -28°C.
6. Since Wednesday's temperature was subtracted, the negative result indicates its value, which is 28°C.

Therefore, the temperature of the town recorded on Wednesday was 28°C.