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The average temperature of the first three days is 27°C, and that of the next three days is 29° C, if the average of the entire week is 28.5°C, then the temperature of the last day is_
- A31.5°C
- B10.5°C
- C42°C
- D36°C
Answer not set
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CCommunity
Average = Sum of quantities/Total number of quantities
Given, average temperature of the first three days is 27°C, and that of the next three days is 29° C.
Sum of temperatures for first six days = 27 × 3 + 29 × 3 = 168° C.
Let the temperature on the last day be ‘t’.
Thus average temperature of the week $(= \frac{{168 + t}}{7})$
Given, average of the entire week is 28.5°C.
$(\therefore \frac{{168 + t}}{7} = 28.5)$
⇒ 168 + t = 199.5
⇒ t = 31.5° C
Given, average temperature of the first three days is 27°C, and that of the next three days is 29° C.
Sum of temperatures for first six days = 27 × 3 + 29 × 3 = 168° C.
Let the temperature on the last day be ‘t’.
Thus average temperature of the week $(= \frac{{168 + t}}{7})$
Given, average of the entire week is 28.5°C.
$(\therefore \frac{{168 + t}}{7} = 28.5)$
⇒ 168 + t = 199.5
⇒ t = 31.5° C