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A silo is filled to capacity with W pounds of wheat. Rats eat r pounds
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14 Apr 2022, 09:07
14 Apr 2022, 09:07
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A silo is filled to capacity with W pounds of wheat. Rats eat r pounds a day. After 25 days, what percentage of the silo’s capacity have the rats eaten?
A. 25r/W
B. 25r/(100W)
C. 2,500r/W
D. r/W
E. r/(25W)
A. 25r/W
B. 25r/(100W)
C. 2,500r/W
D. r/W
E. r/(25W)
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Re: A silo is filled to capacity with W pounds of wheat. Rats eat r pounds
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14 Apr 2022, 11:20
14 Apr 2022, 11:20
1
Carcass wrote:
A silo is filled to capacity with W pounds of wheat. Rats eat r pounds a day. After 25 days, what percentage of the silo’s capacity have the rats eaten?
A. 25r/W
B. 25r/(100W)
C. 2,500r/W
D. r/W
E. r/(25W)
A. 25r/W
B. 25r/(100W)
C. 2,500r/W
D. r/W
E. r/(25W)
Key property: We can convert a fraction to a percent by multiplying it by 100.
In other words: a/b = 100a/b percent
For example, 3/4 = (100)(3)/4 percent = 75 percent
If rats eat r pounds a day, then after 25 days, they will have eaten 25r pounds of wheat.
The silo is filled to capacity with W pounds of wheat
So, the FRACTION of the silo’s capacity have the rats eaten = 25r/W
So, the PERCENTAGE of the silo’s capacity have the rats eaten = (100)(25r)/W = 2,500r/W
Answer: C
Re: A silo is filled to capacity with W pounds of wheat. Rats eat r pounds
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15 Apr 2022, 22:36
15 Apr 2022, 22:36
1
Quote:
A silo is filled to capacity with W pounds of wheat. Rats eat r pounds a day. After 25 days, what percentage of the silo’s capacity have the rats eaten?
Using values
Let W = 100 pounds
Rats eat r = 1 pounds a day
After 25 days, rats ate = 25 pounds
Percentage of the silo’s capacity have the rats eaten = 25
Substituting W =100 and r=1 in the options, to get result 25
IMO C
