Question

In a caravan, in addition to $50$ hens, there are $45$ goats and $8$ camels with some keepers. If the total number of feet be $224$ more than the number of heads in the caravan, the number of keepers is

• A. $5$
• B. $8$
• C. $10$
• D. $15$

Answer 1

The correct option is D $15$

Let number of keepers be $x$. Then,
Total number of feet $=2\times 50+4\times 45+4\times 8+2x=2x+312$.
Total number of heads $=50+45+8+x=103+x$.
Therefore $(2x+312)=(103+x)+224$ or $x=15$.