Certainly! Let's break down the problem step-by-step.
1. We are given the following information:
- The mean temperature for the entire week (7 days) is 36°C.
- The mean temperature for the first 4 days is 35°C.
- The mean temperature for the weekend (Saturday and Sunday) is 37°C.
2. First, we need to calculate the total combined temperature for the entire week.
Since the mean temperature for 7 days is 36°C:
[tex]\[
\text{Total temperature for the week} = 36 \times 7 = 252^\circ C
\][/tex]
3. Next, we find the total combined temperature for the first 4 days.
Since the mean temperature for the first 4 days is 35°C:
[tex]\[
\text{Total temperature for the first 4 days} = 35 \times 4 = 140^\circ C
\][/tex]
4. Then, we calculate the total combined temperature for the weekend (Saturday and Sunday).
Since the mean temperature for the weekend is 37°C:
[tex]\[
\text{Total temperature for the weekend} = 37 \times 2 = 74^\circ C
\][/tex]
5. Now, we can find the temperature for Friday.
The total weekly temperature should be the sum of the temperatures for the first 4 days, Friday, and the weekend. Thus, we can set up the following equation:
[tex]\[
\text{Total temperature for the week} = \text{Total temperature for the first 4 days} + \text{Temperature on Friday} + \text{Total temperature for the weekend}
\][/tex]
6. Plugging in the values we have:
[tex]\[
252 = 140 + \text{Temperature on Friday} + 74
\][/tex]
7. Solve for the temperature on Friday:
[tex]\[
\text{Temperature on Friday} = 252 - 140 - 74 = 38^\circ C
\][/tex]
So, the temperature on Friday is 38°C.
