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Noah thinks the answers to these two questions will be the same. Do you agree with him? Explain your reasoning. This year, a herd of bison had a 10% increase in population. If there were 550 bison in the herd last year, how many are in the herd this year? This year, another herd of bison had a 10% decrease in population. If there are 550 bison in the herd this year, how many bison were there last year?

User Matko
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1 Answer

5 votes

Answer: No, She is not right.

Explanation:

First question:

Initial number of bison = 550

After increasing 10% than the initial number of bison, the new number of bison after one year= Initial number of bison + 10 % of the initial number of bison

=
110\% \text{ of the initial number of bison}

=
110\% \text{ of }550

=
(110* 550)/(100)

=
(60500)/(100)

=
605

Second question:

Let Initial number of bison = x

After decreasing 10% than the initial number of bison, the new number of bison after one year= Initial number of bison - 10 % f the initial number of bison

=
90\% \text{ of the initial number of bison}

=
90\% \text{ of } x

=
(90* x)/(100)

=
(9x)/(10)

According to the question,


(9x)/(10)=550


x=(5500)/(9)=611.11\approx 611

Since, 605 ≠ 611

Therefore, Both questions have different answer.

Noah is not correct.

User Tobias Knauss
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