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as given
The total number of Doctors and nurses =240
let number of doctors be 5x and
number of nurses be 7x
now
5x+7x=240
x=20
thus number of doctors =5*20=100 and
number of nurses =7*20=140
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Bunuel
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

Total Number of nurses is (7/12)*240 = 140 Nurses.

Answer is D.
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Bunuel
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

The ratio of doctors to nurses is 5 to 7
5 + 7 = 12.
So we can say that, for every 12 workers, 5 are doctors and 7 are nurses.
In other words, 7/12 of the workers are nurses.

We are told that there are 240 workers in total
So, the total number of nurses = 7/12 of 240
= (7/12)(240)
= 140

Answer: D

Cheers,
Brent
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We can solve this question by just looking at the answers.

The ratio of doctors to nurse is 5 to 7 ==> D:N = 5x:7x ==> the number of nurses is a multiple of 7 ==> answer is D since it is the only multiple of 7 in the answer choices.
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Bunuel
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

We can create the equation:

240 = 5x + 7x

240 = 12x

20 = x

So there are 7 * 20 = 140 nurses.

Answer: D
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