Let the number of eggs bought =9x+2 number of eggs left after throwing away 2=9x number of eggs kept in fridge =5x number of eggs brought to his mothers' house =4x number of eggs left after cooking 2 which are kept in fridge =4x−2 Given, 4x−2≤5 ⇒x≤
7
4
Hence the max value of x is 1 Max number of eggs bought =11