3. Last week, the average temperature of first 4 days was 37° C and that of last two days was 42° C. If the average of the whole week was 41.5° C, what was the temperature on the fifth day of the week?
Answers
Answer:
58.5
Step-by-step explanation:
Average = Sum / Total no. of sum
Average temperature of first 4 days of week
= 37°C
Sum of temperature of 4 days
= 37×4 = 148°C
Average temperature of last 2 days of week
= 42°C
Sum of temperature of 2 days
=42×2 = 84°C
Average temperature of the week
= 41.5°C
Sum of temperature of week
= 41.5× 7 = 290.5°C
Temperature of 5th day of week
= x
Average temperature of week
= (148 + 84 +x )/7
= (232 + x )/7
but it given that Average temperature of week is 41.5 so
(232+x)/7 = 41.5
232+x = 41.5×7
232+x = 290.5
x = 290.5-232
x = 58.5
Hence,
Temperature of 5th day of week = 58.5°C