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16 Nov 2015, 22:52
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There are 240 doctors and nurses at a hospital. If the ratio of doctors to nurses is 5 to 7, how many nurses are at the hospital?
A. 20
B. 60
C. 100
D. 140
E. 180
A. 20
B. 60
C. 100
D. 140
E. 180
17 Nov 2015, 00:14
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Let number of doctors= 5x
and number of nurses = 7x
Total number of doctors and nurses = 240
5x+7x = 240
=>12x =240
=> x =20
Number of nurses =7x =7*20 = 140
Answer D
and number of nurses = 7x
Total number of doctors and nurses = 240
5x+7x = 240
=>12x =240
=> x =20
Number of nurses =7x =7*20 = 140
Answer D
17 Nov 2015, 04:32
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Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.
There are 240 doctors and nurses at a hospital. If the ratio of doctors to nurses is 5 to 7, how many nurses are at the hospital?
A. 20
B. 60
C. 100
D. 140
E. 180
Let the number of doctors be D and that of nurses be N.
Then we have D+N=240, D:N=5:7.
So we have 5N=7D ---> N=7K, D=5K. 240=D+N=12K ---> K=20.
So N=140.
The answer is, therefore, (D).
There are 240 doctors and nurses at a hospital. If the ratio of doctors to nurses is 5 to 7, how many nurses are at the hospital?
A. 20
B. 60
C. 100
D. 140
E. 180
Let the number of doctors be D and that of nurses be N.
Then we have D+N=240, D:N=5:7.
So we have 5N=7D ---> N=7K, D=5K. 240=D+N=12K ---> K=20.
So N=140.
The answer is, therefore, (D).
