Maths-

General

Easy

Question

# If 18 binders can bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 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: 12 days.

### Let the number of binders be represented as x, the number of books be represented as y and the number of days be represented as z. Now, more books will mean we will require more binders so x and y will have a directly proportional relationship i.e

x y

Now if more days are given, fewer binders will be required 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 18 binders can bind 900 books in 10 days. So, x = 18, y = 900 and z = 10. Putting the values in equation (1)

18 = k

k = =

Step 2 of 2:

Now we are asked to find the number of binders that will be required to bind 660 books in 12 days. Let the number of binders be “b”. So, x = b, y = 660 and z = 12. Putting the values in equation (1)

b = k

Now, put the value of k =

d =

d = 11 binders

Final Answer:

Hence, 11 binders will be required to bind 660 books in 12 days.

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