AMC10 2013 B
AMC10 2013 B · Q3
AMC10 2013 B · Q3. It mainly tests Averages (mean).
On a particular January day, the high temperature in Lincoln, Nebraska, was 16 degrees higher than the low temperature, and the average of the high and low temperatures was 3°. In degrees, what was the low temperature in Lincoln that day?
在某个特定的1月日子，林肯内布拉斯加州最高温度比最低温度高16度，而且最高温度和最低温度的平均值为3°。那天林肯的最低温度是多少度？
(A)
−13
−13
(B)
−8
−8
(C)
−5
−5
(D)
−3
−3
(E)
11
11
Answer
Correct choice: (C)
正确答案：（C）
Solution
The difference between the high and low temperatures was 16 degrees, so the difference between each of these and the average temperature was 8 degrees. The low temperature was 8 degrees less than the average, so it was 3°−8°= −5°.
最高温度和最低温度的差是16度，因此它们各自与平均温度的差是8度。最低温度比平均温度低8度，所以是 $3^\circ - 8^\circ = -5^\circ$。
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