Question

Swim team members can race or dive. At a meet, 18 members race. The ratio of racers to divers is 6 : 2. How many members are on the team? Show your work.

Answer 1

24

Explanation:

Given that:

Total number of members who race = 18

Ratio of racers to divers = 6 : 2

To find:

Total number of members of the team = ?

Solution:

Given the ratio = 6 : 2

As per the ratio given, we can let the number of racers =
`6x`

and

As per the ratio given, we can let the number of divers =
`2x`

As the swim team members can either race or dive, we can say that:

Total number of members on the team = Number of racers + Number of divers

Total number of members on the team =
`6x+2x=8x`

As per the question statement, we are given that:

`6x=18\\\Rightarrow x =(18)/(6)\\\Rightarrow x =3`

Therefore, total number of team members = 8
`*` 3 = 24