Question

the ratio of patients undergoing a surgery to the ratio of patients surviving the surgery is 14:11. what is the percentage of patients who survives the surgery​

Answer 1

Given :  the ratio of patients undergoing a surgery to the ratio of patients surviving the surgery is 14:11

To find :  percentage of patients who survives the surgery​

Solution:

Let say Patients undergoing surgery  = 14P

then Patients surviving surgery  = 11P

percentage of patients who survives the surgery​  = (11P / 14P) * 100

= 1100/14

= 550/7

= 78.5 %

percentage of patients who survives the surgery​  =  78.5 %

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Answer 2

The percentage of patients who survives the surgery​ is 78.6%

Step-by-step explanation:

The ratio of patient undergoing surgery to patient surviving the surgery:

⇒ 14 : 11

Now, the ration can be written as:

⇒ 14P/11P

From question, we need the patients who survives the surgery​ :

⇒ 11P/14P

From question, we need to find the percentage:

⇒ 11P/14P × 100

⇒ 1100/14

∴ Percentage of patients who survived = 78.6%