Question

Two-thirds of the dairy cattle on a farm are in the barn. One-fourth of the beef cattle are in the barn. There are 24 dairy cattle and 16 beef cattle in the barn. How many more beef cattle are on the farm than dairy cattle?

Answer 1

`(2)/(3)dairy cattle=24 \\ (2)/(3)d=24 \\ (3)/(2) ( (2)/(3)d)=(24) (3)/(2) \\ d= (24*3)/(2) \\ d=36`
The total number of dairy cattle is 36.


`(1)/(4)beefcattle=16 \\ (1)/(4)b=16 \\ (4)/(1)( (1)/(4)b)=(16) (4)/(1) \\ b=64`
The total number of beef cattle is 64.


`b-d \\ 64-36 \\ 28`
There are 28 more beef cattle than dairy cattle.

Hope this helps!