Maths-

General

Easy

Question

# 70 patients in a hospital consume 1350 litres of milk in 30 days. At the same rate, how many patients will consume 1710 litres in 28 days?

Hint:

**Hint:**

In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:

y = (constant) x or y = k x.

So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

## The correct answer is: 28 days.

### Let the number of patients be represented as x, the volume of milk be represented as y and the number of days be represented as z. Now, more patients will mean more milk is required so x and y will have a directly proportional relationship i.e

x y

Now if more patients are present in the hospital, milk will be consumed in a fewer number of days which means x and z have an inversely proportional relationship i.e

x

So, we can say that

x

x = k…….(1)

Where k is a proportionality constant

Step 1 of 2:

It is given that 70 patients consume 1350 litres of milk in 30 days. So, x = 70, y = 1350 and z = 30. Putting the values in equation (1)

70 = k

k = =

Step 2 of 2:

Now we are asked to find the number of patients that will consume 1710 litres in 28 days. Let the number of patients be “p”. So, x = p, y = 1710 and z = 28. Putting the values in equation (1)

p = k

Now, put the value of k =

p =

p = 95 patients

Final Answer:

Hence, 95 patients will consume 1710 litres in 28 days.

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