Question

Mr. Jose buys some eggs. After bringing the eggs home, he finds two to be rotten and throws them away. Of the remaining eggs, he puts five-ninth in his fridge, and brings the rest to his mother’s house. She cooks two eggs and puts the rest in her fridge. If her fridge cannot hold more than five eggs, what is the maximum possible number of eggs bought by Mr. Jose?

Accepted Answer

C. Let total eggs bought = $9x + 2$. Rotten eggs = $2$, remaining = $9x$. Eggs kept in fridge = $5x$, brought to mother's house = $4x$. Mother cooks 2 eggs, leaving $4x - 2$ eggs in her fridge. Her fridge holds at most 5 eggs: $4x - 2 \le 5 \implies 4x \le 7 \implies x \le 1.75$. Since $x$ must be a positive integer, the maximum value of $x$ is $1$. Maximum eggs bought = $9(1) + 2 = 11$.

Maximum Eggs Bought by Mr. Jose

Explanation

Practise this under exam conditions