Question
Download Solution PDFThe average temperature of a certain city on different days is as follows:
Monday, Tuesday, Wednesday and Thursday = 42°
Tuesday, Wednesday, Thursday and Friday = 44°
What is the temperature on Friday if the ratio of the temperature on Monday and Friday is 3 ∶ 5?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average temperature from Monday to Thursday = 42°C
Average temperature from Tuesday to Friday = 44°C
Ratio of temperatures on Monday to Friday = 3 : 5
Concept:
We can use the properties of average to solve this problem.
Solution:
⇒The total temperature from Monday to Thursday = 4 × 42°C = 168°C
⇒ The total temperature from Tuesday to Friday = 4 × 44°C = 176°C
The difference in total temperatures represents the temperature change from Monday to Friday.
⇒ Friday's temperature - Monday's temperature = 176°C - 168°C = 8°C
Given that the ratio of temperatures on Monday to Friday is 3 : 5, we can find the temperature on Friday.
⇒ 2 parts represent 8°C, so 1 part represents 8°C/2 = 4°C
⇒ Therefore, the temperature on Friday = (5 × 4°C) = 20°C
Therefore, the temperature on Friday is approximately 20°C.
Last updated on Jun 30, 2025
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