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 cat

Question

3 years ago

6

tle and 15 beef cattle in thr barn. How many more dairy cattle are on the farm than beef cattle?

1 answer:

Korolek [52] · Answer 1 · 2022-08-04T07:21:21+03:00

Let

d = the total number of dairy cattle

b = the total number of beef cattle

2/3 of the dairy cattle on a farm are in the barn, and we know that 24 dairy cattle are in the barn thus:

(2/3)d = 24

d = 36 dairy cattle

1/4 of the beef cattle are in the barn and there are 16 beef cattle in the barn thus:

(1/4)b = 16

b = 64 beef cattle

64 - 36 = 28

There are 28 more beef cattle on the farm than dairy cattle.