Question

On Alex’s farm house, in addition to 60 hens there are 50 goats and 10 camels with some keepers. If the total number of feets be 270 more than the total number of heads then find the number of keepers.

• A. 30
• B. 40
• C. 20
• D. 10

Answer 1

The correct option is A 30

Assume $x$ number of keepers are there on Alex's farm house.
$\therefore$ Total numbers of heads $=60+50+10+x=120+x$

And as we know a hen has 2 feets, a goat has 4 feets, a camel has 4 feets and a man also has 2 feets.
$\therefore$ Total number of feets $=(60\times 2)+(50\times 4)+(10\times 4)+(x\times 2)⟹120+200+40+2x=360+2x$

Now, as given total number of feets be 270 more than total number of heads.
$⟹(360+2x)-(120+x)=270⟹360+2x-120-x=270⟹240+x=270⟹x=30$

Hence, option 'a' is correct.