Statistics › Median and mode › Lists with given mean and median

Maximum smallest ball in bowl Jia

High school · ●●●●○ 100 pts

Place the 27 balls numbered 11 to 2727 into three bowls, Jia, Yi and Bing, so that the average ball number in bowl Jia is 1515, in bowl Yi is 33, and in bowl Bing is 1818, and each bowl contains at least 44 balls. Find the maximum possible value of the smallest ball number in bowl Jia.

Sign in to save your progress.

arithmetic meanextremal reasoningcounting with restrictionsinteger partitionssystems of equations