math

A farmer had 500 ducks and 300 chickens. He gave his sister 100 chickens and ducks. Later, the farmer bought 10 more ducks and 75 more chickens. As a result, the number of ducks decreased by 12% and the number of chickens increased by 15%.

a) How many ducks did the farmer give away?
b) How many chickens did he give away?


I got 70 ducks and 30 chickens for some reason.

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  1. I don't know.

  2. :(

  3. Why do you say "for some reason"? Didn't you solve the problem?

    Did you check your answer?
    500-70+10 = 440 = 500 * 0.85 ok
    300-30+75 = 375 = 345 * 1.15 ok

    Here's how I did it. I imagine you did it in much the same way.

    to start,
    500 ducks
    300 chickens

    then gave away d ducks and c chickens,

    At that point, he had
    500-d ducks
    300-c chickens

    After buying more birds, he had
    500-d+10 = 510-d ducks
    300-c+75 = 375-c chickens

    510-d = 500*.88 = 440
    375-c = 300*1.15 = 345

    d = 510-440 = 70
    c = 375-345 = 30

    Specifying that d+c = 100 was redundant.

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    posted by Steve
  4. a farmer had 15 animals in his farmyard somewhere chicken and some were cows.there were 52 legs in all . how many cows were in the farmyard?

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  5. 😂 Thanks! 👍🏻

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