The first year, two cows produced 8100 litres of milk. The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year. How many litres were milked from each cow each year?
we need to find how many litres of these were from the 1st cow and 2nd cow respectively. We can do this by finding the ratio of the amount of milk both cows produced.
In the given it is mentioned that one cow produces 15% more from its 1st yr yield and the second cow produced 10% more. Therefore 15:10 is their ratio, which can be simplified to 3:2.
per 3 units 1st cow makes the 2nd cow produced 2 units. If we sum up the ratio it equates to 5 units. So the amount of produced milk per yr can be divided into 5 parts that can be evenly distributed accordingly to each cow.
So for year 1
8,100 litres divided by 5 is 1,620 litres.
cow 1: 1,620 × 3 = 4,860 litres
cow 2: 1,620 × 2 = 3,240 litres
and year 2
cow 1: 4,860+600= 5,460 litres
cow 2: 3,240+400= 3,640 litres
