Question

Ronald works in an Ornithology (bird maintenance) department. Students asked him to find out the best estimate of the local bird population. So he tied a belt around the legs of 40 birds. A few days later, he observed 520 birds, 34 of which had belts. To the nearest whole number, what is the best estimate for the bird population?

Answer 1

The best estimate for the bird population is 613 birds

Explanation:

Let x be the total of number of estimated bird

From x, 40 birds are with belt

he observed 520 birds, 34 of which had belts.

Then taking reciprocal of both statements

x/40 = 520/34

34x = 520*40 = 20800

x = 20800/34

x = 613The total of number of estimated birds is 613 birds

The total of number of estimated birds is 613 birds

Answer 2

618 birds.

Explanation:

Let the estimated number of birds=x

Out of x birds, he tied a belt around the legs of 40 birds.

When he observed 520 birds, 34 of which had belts.

Expressing each as a ratio

`(x)/(40)=(520)/(34)`

Cross Multiply

34x=520X40

x=520X40÷34=611.7≈618

There are an estimated 618 birds.