Question

At the skating rink, the ratio of hockey players to other skaters was 2 to 5. When 18 more hockey players arrive, the number of hockey key players is the same as the number of other skaters. How many people in all are now at the skating rink

Answer 1

60 people

Explanation:

Let

x ----> number of hockey players at the start

y ----> other skaters

we know that

`(x)/(y)=(2)/(5)`

`x=(2)/(5)y` -----> equation A

`x+18=y` ----> equation B

substitute equation A in equation B and solve for y

`(2)/(5)y+18=y`

`y-(2)/(5)y=18`

`(3)/(5)y=18`

`y=18(5)/3=30`

Find the value of x

`x=(2)/(5)(30)=12`

therefore

The number of hockey players and the other skaters now is equal to

x+y+18=12+30+18=60