Question

021
(b) in a tennis club the ratio number of junior members : number of senior members = 7:10.
There are 18 more senior members than junior members.
Calculate the total number of club members.
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Answer 1

SOLUTION

GIVEN

• In a tennis club the ratio number of junior members : number of senior members = 7:10

• There are 18 more senior members than junior members.

TO DETERMINE

The total number of club members

EVALUATION

Here it is given that in a tennis club the ratio number of junior members : number of senior members = 7:10

Let number of junior members = 7x and number of senior members = 10x

Again it is also stated that there are 18 more senior members than junior members.

So by the given condition

10x - 7x = 18

$\implies \sf{3x = 18}$

$\implies \sf{x = 6}$

Hence number of junior members = 42 and number of senior members = 60

Hence the total number of club members

= 42 + 60

= 102

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