A farmer had 250 ducks and 150 chickens. He gave a total of 100 chickens to his sister. Later, the farmer bought 5 more ducks and 35 chickens. As a result, the number of ducks decreased by 10% and the number of chickens increased by 20%. A) How many ducks did the farmer give away? B) How many chickens did he give away?

Question

I'm confused because I keep getting 30 ducks and 5 chickens but that doesn't equal 100.

Answer 1

I guess it was supposed to say

He gave a total of 100 ducks and chickens to his sister.

If he gave away d ducks and c chickens, then

250-d+5 = 9/10 * 250 ==> d = 30
150-c+35 = 6/5 * 150 ==> c = 5

Something's fowl here, I agree.