## If 7 of the same books cost £84, how many can be brought for £48

October 11, 2019// Blog//

**Answer with explanation:**

Membership fee for club members = $ 30

Ticket Price for for club members =$ 3

Let , number of Club members = x

And,Number of non club members=y

Ticket price for non club members= $ 6

Expressing the above situation in terms of Linear equation

→30x+3x=6y

→33x =6 y

Dividing both sides by 3,we get

**→11 x=2y**

So, when x is multiple of 2=2,4,6,8,…,(For Club Members)

and y is Multiple of 11=11,22,33,44,…..(For Non Club Members)

**Ordered pair for Club Members and Non Club Members=(2,11),(4,22),(6,33),……**

For these Ordered pairs ,cost is the same for club members and non-members.