问答题The cost of hiring a private rail carriage is shared equally by all the passengers who paid an exact number of pounds which was less than £100 each. The carriage has seats for 50 passengers and the total bill amounts to £1887. How many seats were not occupied?
问答题
The cost of hiring a private rail carriage is shared equally by all the passengers who paid an exact number of pounds which was less than £100 each. The carriage has seats for 50 passengers and the total bill amounts to £1887. How many seats were not occupied?
参考解析
解析:
(根据题目要求可知,1887英镑被一些人平分,人数少于50,每人所付钱数少于100英镑,可知如果分解1887的话,符合条件的两个因子应一个小于50,一个小于100。因为1887=3×17×37,即1887=3×629,或者1887=37×51,可知是37位乘客,每位乘客交了51英镑,则空座为13个。)
(根据题目要求可知,1887英镑被一些人平分,人数少于50,每人所付钱数少于100英镑,可知如果分解1887的话,符合条件的两个因子应一个小于50,一个小于100。因为1887=3×17×37,即1887=3×629,或者1887=37×51,可知是37位乘客,每位乘客交了51英镑,则空座为13个。)
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