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To feed 10 bears for one week at the zoo requires 560 fish. If each be

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Sajjad1994
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To feed 10 bears for one week at the zoo requires 560 fish. If each be [#permalink] New post   24 Sep 2020, 06:51
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To feed 10 bears for one week at the zoo requires 560 fish. If each bear eats the same amount of fish, how many fish are required to feed two fewer bears for two weeks?

A. 448

B. 864

C. 896

D. 920

E. 1020
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C
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Re: To feed 10 bears for one week at the zoo requires 560 fish. If each be [#permalink] New post   24 Sep 2020, 11:31
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10 bear -- 1 week -- 560 fishes
1 bear -- 1 week -- 56 fishes
8 bear -- 1 week -- 56*8 fishes

8 bears -- 2 weeks -- 56*8*2 = 896 fishes.

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Re: To feed 10 bears for one week at the zoo requires 560 fish. If each be [#permalink] New post   24 Sep 2020, 08:52
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Method 1:

10 Bears eat 560 fish in 7 days

10 Bears eat 80 Fish / day

Therefore 1 Bear eats 8 fish /Day


Now we have 8 bears, who will eat 64 fish/day

Therefore in 14 days, the fish required = 14 * 64 = 896 fish


Method 2: We can also use the concept of Man Days here, which is \(\frac{M_1* T_1}{W_1}= \frac{M_1 * T_1}{W_1}\)

Let the Total Fish required = x

Therefore \(\frac{10 * 7}{560}= \frac{8 * 14}{x}\)

x = 896



Option C

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Re: To feed 10 bears for one week at the zoo requires 560 fish. If each be [#permalink] New post   24 Sep 2020, 10:06
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Sajjad1994 wrote:
To feed 10 bears for one week at the zoo requires 560 fish. If each bear eats the same amount of fish, how many fish are required to feed two fewer bears for two weeks?

A. 448

B. 864

C. 896

D. 920

E. 1020


The given rate is 560 fish per week for 10 bears. Thus if we account for each bear, the rate is 56 fish per week per bear.

The question now asks for how many fish under 8 bears and 2 weeks, which is 56 * 8 * 2 = 112*8 = 800 + 96 = 896.

Ans: C
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Re: To feed 10 bears for one week at the zoo requires 560 fish. If each be [#permalink] New post   24 Sep 2020, 10:35
Sajjad1994 wrote:
To feed 10 bears for one week at the zoo requires 560 fish. If each bear eats the same amount of fish, how many fish are required to feed two fewer bears for two weeks?

A. 448

B. 864

C. 896

D. 920

E. 1020


10bears*7days ----------> 560 fish
So, 1 bearsdays ----------> 8 fish

Hence, 8 bears * 14 days --------------->8*8*14 = 896, Answer is (C)
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Re: To feed 10 bears for one week at the zoo requires 560 fish. If each be [#permalink] New post   01 Oct 2020, 10:52
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Sajjad1994 wrote:
To feed 10 bears for one week at the zoo requires 560 fish. If each bear eats the same amount of fish, how many fish are required to feed two fewer bears for two weeks?

A. 448

B. 864

C. 896

D. 920

E. 1020

Solution:

The number of fish required to feed one bear for one week is 560/10 = 56. Thus, the number of fish required to feed one bear for two weeks is 56 x 2 = 112, and so to feed 10 - 2 = 8 bears for two weeks is 112 x 8 = 896.

Answer: C
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Re: To feed 10 bears for one week at the zoo requires 560 fish. If each be [#permalink]
01 Oct 2020, 10:52
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