Question

In a zoo there are eleven monkeys, four tigers and seven parrots. Which of the statements below are correct

There are 30 eyes in all

There are 23 heads in all

There are 18 tails in all

There are 14 wings in all
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Answer 1

Answer:

Explanation:

All rabbits have 4 legs and pigeons have 2 legs, but both have 1 head

If R denotes rabbit and P denotes pigeons, then the no. of heads are

R + P = 340 (cause both have one head only)

Now equation for no. of legs will be

4R + 2P = 1060 ( rabbits have 4 legs, that's why we multiplied it with 4 and pigeons have 2 legs, that's why multiplied it with 2)

Multiply the 1st equation with ‘2′ and subtract it from 2nd equation

(R + P = 340 )*2

= 2R + 2P = 680

Subtracting it from 2nd equation

4R + 2P - (2R + 2P) = 1060 - 680

= 4R + 2P -2R - 2P = 380

2R = 380

R = 190

Put this in 1st equation

R + P = 380

P = 380 - R = 380 - 190

P = 150

There are 150 pigeons and 190 rabbits (Ans)

Another quick method is

No. of 4 legs animal = (Total no. of legs / 2) - total number of heads

4 legs animal is rabbit = 1060/2 - 340

= 530 - 340 = 190

Number of 2 leg animal (pigeon) = number of heads - number of 4 leg animal (rabbit)

= 340–190 = 150 pigeons

Answer 2

Answer:

Sorry mar me as brainleast