The grain will last for 10 days with the new number of cattle.
How many days will the grain last now
Since the farmer has a fixed amount of grain, the number of cattle and the number of days the grain will last are inversely proportional.
We can set up a proportion to represent this relationship:
cattle1 / days1 = cattle2 / days2
So, we have
days2 = (cattle1 * days1) / cattle2
Substitute the known values into the equation
days2 = (50 * 12) / 60
Evaluate
days2 = 10 days
Hence, the grain will last for 10 days with the new number of cattle.
Question
A farmer has enough grains to feed 50 cattle for 12 days. He buys 10 cattle more for how many days will the the grain last now?