Posted by **TommyBoy** on Friday, May 24, 2013 at 5:22am.

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?

- math -
**Reiny**, Friday, May 24, 2013 at 7:47am
We can do this without algebra:

originally he had 500 ducks

the final number was 12% less , or 88% of the original

= 440 ducks

but that includes the purchase of 10 ducks, so the give-away must have been 70 ducks

so he must have given away 30 chickens

so his final count for chickens

= 300 - 30 + 75 (the new purchase) = 345

change = increase of 45 chickens

is this 15% of 300 ? YES

He gave his sister 70 ducks and 30 chickens

- math -
**Anonymous**, Wednesday, February 11, 2015 at 10:41pm
Explain ur answers more

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