Question

There are some parrots and some tigers in a forest. If the total number of animal heads in the forest is 858 and the total number of animal legs are 1746, what is the number of parrots in the forest?

• A. 845
• B. 833
• C. 800
• D. 822
• E. None of these

Answer 1

The correct option is D 822

P + T = 858 ....... (1)
(Because both have one head)
2P + 4T = 1746 ....... (2)
(Because parrot has two legs and tiger has four legs)
Multiply by 2 in Equation (1) and subtract
$2P+2T=1716$
$-2P+4T=1746$
$\underset{–}{---}$
$-2T=-30$
$\therefore T=15$
$P=843$