One-third of the dairy cattle on a farm are in the barn. three-fifths of the beef cattle are in the barn. there are 30 dairy cattle and 15 beef cattle in the barn. how many more dairy cattle are on the farm than beef cattle?

There are 50 more dairy cattle than beef cattle.

Given that 30 = 1/3rd of the total Dairy Cattle that means there are 2 more sets of 30 elsewhere. 30 x 3 = 90 Dairy Cattle total.

If 15 is 3/5ths of the beef cattle then that means that 1/5th is 5 (Since 15 divided by 3 = 5). This means that in total (Since 1/5th is 5) you can multiply 5 by 5 to get 25 Beef Cattle total. 

Overall 90 - 25 = 65 more Dairy Cattle total

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