Question
The average temperature of a city for the first sixteen
days of January is 22°C, and the average temperature for the last sixteen days of the same month is 26°C. If the average temperature for the entire month is 24°C, what is the temperature on the sixteenth day?Solution
Let the temperature on the sixteenth day be x. The sum of temperatures for the first fifteen days is ( 15 x 22 = 330 ). The sum of temperatures for the last fifteen days is ( 15 x 26 = 390 ). The average temperature for the entire month is 24°C, so the sum of temperatures for all thirty-one days is ( 31 x 24 = 744 ). [330 + x + 390 = 744] [720 + x = 744] [x = 24] The temperature on the sixteenth day is 24°C.
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