SOLUTION: Hi A farm had some cows and goats. 1/5 of the cows and 3/11 of the goats were sold . There was an equal number of cows and goats left. If there were 704 cows and goats left, how m

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi A farm had some cows and goats. 1/5 of the cows and 3/11 of the goats were sold . There was an equal number of cows and goats left. If there were 704 cows and goats left, how m      Log On

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Question 1187422: Hi
A farm had some cows and goats. 1/5 of the cows and 3/11 of the goats were sold . There was an equal number of cows and goats left. If there were 704 cows and goats left, how many were on the farm at first.
Thanks

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
A farm had some cows and goats. 1/5 of the cows and 3/11 of the goats were sold .
There was an equal number of cows and goats left.
If there were 704 cows and goats left, how many were on the farm at first.
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From the condition, the number of cows left is  704/2 = 352;  the number of goats left is the same, 352.


Next, 4%2F5 of the cows (what is left) is 352;  hence the number of cows initially was  %285%2F4%29%2A352 = 440;

      8%2F11 of the goats (what is left) is 352;  hence the number of goats initially was  %2811%2F8%29%2A352 = 484.

Solved.