65% of the animals on a farm were cows and the rest were goats. When 240 more cows and goats were added to the farm, the percentage of cows increased by 20% and the number of goats doubled. How many goats were there on the farm at first?
Solution
At first
Cows --> 65%
Goats --> 35%
Cows 20% more
--> (20/100) x 35% = 13% more
Goats doubled
--> 35% more
Total added
13% (cows) + 35% (goats) --> 240
48% --> 240
1% --> 240 divided by 48 = 5
Goats at first
35% --> 35 x 5 = 175
Answer: 175 goats
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