Mrs.Jones and Apple Tree - Math Riddle

In the quaint town of Green Valley, Mrs. Jones had a prized possession—a magnificent apple tree that bore delicious fruit each autumn. After a bountiful harvest, Mrs. Jones faced a unique challenge. She gathered her three sons—Paul, Nick, and Ben—and entrusted them with the task of selling 150 apples at the market. But here's the twist: each son received a different number of apples, and Mrs. Jones had an intriguing requirement—to ensure that every son brought home the same amount of money. Let's delve into this mathematical puzzle and uncover how they cracked the code of fair distribution.

 

Mrs Jones was very proud of her apple tree. One autumn, after harvesting her apples, she called her three sons together. "Here are 150 apples,"she said. "I want you to take them to the market tomorrow and sell them for me.

" She gave Paul 15 apples, Nick 50, and Ben 85. "Your job," added Mrs Jones, "is to sell the apples in such a way that each of you brings home the same amount of money." How do they do it?

 

 

    150 apples . 

    Explanation :  

    Paul 15 apples, Nick 50, and Ben 85.  
    Sell the apples in such a way that each  brings home the same amount of money. 
    Let say Amount brought them by = N Let say A , 
    B & C are the Prices at which they sell apples 
    N = 15A 
    N = 50B 
    N = 85C 
    N least value is LCM of  15, 
    50  & 85 15  = 3 * 5 50 = 2 * 5 * 5 85 = 5 * 17 
    LCM = 2 * 3 * 5 * 5  * 17 LCM  = 2550 
    A = 170      
    B = 51      
    C = 30 
    Paul Sell apple at Rs 170 each Nick Sell Apple at Rs 51 Each Ben sell Apple at  Rs 30 
    Each They will Sell apple at price in Ratio 170 : 51  : 30  

 

 

 

 

Through innovative pricing strategies based on the quantity of apples received, Paul, Nick, and Ben achieved fairness in their earnings. This clever mathematical problem showcased the importance of inventive thinking and fair distribution, transforming a simple market task into an engaging puzzle of balanced profits.

Writer Name : Pooja Masram

Date : 2023-01-30