Understanding the Hospital Patient Data

The question provides a table showing the number of patients admitted to different hospitals for specific diseases on a particular day. Each hospital entry also includes the total number of beds it has, shown in brackets. We need to use this data to find the ratio of total patients admitted to Hospital A compared to Hospital B.

The question specifically asks for the ratio of total patients admitted, not the number of beds. We need to calculate the sum of patients admitted for all diseases in Hospital A and Hospital B separately.

Calculating Total Patients Admitted

First, let's find the total number of patients admitted to Hospital A:

• Patients with Viral disease in Hospital A: 30
• Patients with Heart disease in Hospital A: 35
• Patients with Kidney disease in Hospital A: 15
• Patients with Liver disease in Hospital A: 10

Total patients in Hospital A = $30 + 35 + 15 + 10 = 90$

Next, let's find the total number of patients admitted to Hospital B:

• Patients with Viral disease in Hospital B: 15
• Patients with Heart disease in Hospital B: 10
• Patients with Kidney disease in Hospital B: 5
• Patients with Liver disease in Hospital B: 5

Total patients in Hospital B = $15 + 10 + 5 + 5 = 35$

Determining the Ratio of Total Patients

The question asks for the ratio of total patients admitted to Hospital A to Hospital B. This can be written as:

Ratio = (Total patients in Hospital A) : (Total patients in Hospital B)

Ratio = $90 : 35$

Simplifying the Ratio

To simplify the ratio $90 : 35$, we need to find the greatest common divisor (GCD) of 90 and 35 and divide both numbers by it. Both 90 and 35 are divisible by 5.

• $90 \div 5 = 18$
• $35 \div 5 = 7$

So, the simplified ratio is $18 : 7$.

Comparing this simplified ratio with the given options, we find that $18 : 7$ is one of the choices.

Final Answer Derivation

By calculating the total patients admitted in Hospital A (90) and Hospital B (35) and then finding their ratio ($90:35$) and simplifying it ($18:7$), we arrive at the required ratio.

Revision Table: Key Calculations

Additional Information: Understanding Ratios

A ratio is a comparison of two quantities. It shows how much of one quantity there is compared to another. Ratios can be written in several ways:

• Using a colon (e.g., $A : B$)
• As a fraction (e.g., $\frac{A}{B}$)
• Using the word "to" (e.g., $A$ to $B$)

Simplifying a ratio means dividing both parts of the ratio by their greatest common divisor. This gives the ratio in its simplest form, which is easier to understand and compare.

In this problem, the ratio $90 : 35$ and $18 : 7$ represent the same comparison between the number of patients in Hospital A and Hospital B, but $18 : 7$ is the simplest form.