Question: There are some girls and buffalos at a place. If total number of heads is 15 and total number of legs is 46, then how many girls and how many buffalos are there?
Options:
A) 8 girls and 7 buffalos
B) 9 girls and 6 buffalos
C) 7 girls and 8 buffalos
D) 6 girls and 9 buffalos
Show Answer
Answer:
Correct Answer: C
Solution:
- Let number of girls be Rs. x.
and number of buffalos = y
According to the questions,
$ x+5=15 $ … (i)
Because girls and buffalos have one head.
and $ 2x+4y=46 $ … (ii)
Because girls have two legs and buffalos have four legs.
Now, solving Eqs. (i) and (ii), we have
x = 7 and y = 8
Hence, number of girls x = 7
and number of buffalos y = 8