SOLUTION: 9/10 of the number of cows is the same as 4/5 the number of sheeps. If there are 225 sheeps, find the total number of cows and sheeps.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 9/10 of the number of cows is the same as 4/5 the number of sheeps. If there are 225 sheeps, find the total number of cows and sheeps.      Log On


   

Question 815200: 9/10 of the number of cows is the same as 4/5 the number of sheeps. If there are 225 sheeps, find the total number of cows and sheeps.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = number of cows
Let +s+ = number of sheep
-----------------------
+%289%2F10%29%2Ac+=+%284%2F5%29%2As+
+%289%2F10%29%2Ac+=+%288%2F10%29%2As+
Multiply both sides by +10+
+9c+=+8s+
-----------
+s+=+225+
By substitution:
+9c+=+8%2A225
+9c+=+1800+
+c+=+200+
and
+s+%2B+c+=+225+%2B+200+
+s+%2B+c+=+425+
There are 425 cows and sheep