Three brothers sacks - Math Riddle


In the world of farming, every decision can have a significant impact. Today, we're going to explore a scenario on a farm with three brothers: Adam, Ben, and Charlie. These brothers decided to buy new seeds for their farm, with Adam and Ben making the trip to the market while Charlie stayed behind to protect the fields. However, a question arose: How would they split the seeds and the cost fairly? Join us as we break down the math behind their decision.

 

Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks.At home they split the sacks equally. Charlie had paid 1400 dollars for the wheat.

 

How much dollars did Ben and Adam get of the sum considering equal split of the sacks?

 

 

  Answer:  Ben $1225, Adam $175

  Explanation :  

  Total sack bought = 45 + 75 = 120 sacks
    Every farmer's part is 1/3 (45+75)
    Each get = 120/3 = 40 Sacks
    Charlie paid $1400 for 40 sacks.
    Amount of 1 sack = 1400/40 = 35 $

    Adam bought = 45 sack
    Adam got money for 45 - 40 = 5 sacks
    Adam got = 5 * $35(per sack amount) = 175 $

    Ben bought = 75 sacks
    Ben got money for 75 - 40 = 35 sacks
    Ben got = 35 * $35 = $ 1225

    Adam got = $ 175
    Ben got = $ 1225

 

 

In conclusion, Adam should receive $839.15 for the 45 sacks he bought, while Ben should receive $1400 for the 75 sacks he purchased. This fair distribution ensures that each brother gets their rightful share of both the seeds and the cost. It's a reminder that in farming, just like in life, fair division and careful planning are essential for a successful harvest.