Expand your horizons with the diverse and informative answers found on IDNLearn.com. Our community is here to provide detailed and trustworthy answers to any questions you may have.

The mean of the temperatures of a town in a week is 36°C. If the mean temperature of the first 4 days of the week is 35°C and that of Saturday and Sunday is 37°C, find the temperature on Friday.

Sagot :

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.