In a hospital the monthly consumption of milk of 60 patients is 1350 litres .How many patients can be accomodated in the hospital if the monthly ration of milk is raised to 1710 litres. Assuming that the quota per head remains the same?

Answer

To solve the problem step by step, we will use the unitary method.

### Step 1: Find the milk consumption per patient.
We know that 60 patients consume 1350 litres of milk. To find out how much milk is consumed by one patient, we can use the formula:

\[ \text{Milk per patient} = \frac{\text{Total milk}}{\text{Number of patients}} = \frac{1350 \text{ litres}}{60 \text{ patients}} \]

Calculating this gives:

\[ \text{Milk per patient} = 22.5 \text{ litres} \]

### Step 2: Determine the total number of patients that can be accommodated with the new milk capacity.
Now, we need to find out how many patients can be accommodated if the total milk available is 1710 litres. We can use the same formula:

\[ \text{Number of patients} = \frac{\text{Total milk}}{\text{Milk per patient}} = \frac{1710 \text{ litres}}{22.5 \text{ litres per patient}} \]

Calculating this gives:

\[ \text{Number of patients} = 76 \]

### Conclusion:
Thus, the hospital can accommodate **76 patients** if the monthly ration of milk is raised to 1710 litres.

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