Question

a Special Olympics event has 14 more boys than girls competing the total number of participants is 1000 how many boys competed and how many girls competed

Answer 1

girls=x
boys=x+14
x+x+14=1000
2x+14=1000
2x=1000-14
2x=986
x=493
girls=x=493
boys=x+14=493+14=507

Answer 2

493 girls and 507 boys competed.

Explanation:

Let x represent number of girls.

We have been given that a Special Olympics event has 14 more boys than girls competing. So the number of boys would be
`x+14`.

We are also told that the total number of participants is 1000. We can represent this information in an equation as:

`x+x+14=1000`

`2x+14=1000`

`2x+14-14=1000-14`

`2x=986`

`(2x)/(2)=(986)/(2)`

`x=493`

Therefore, 493 girls competed in the Olympics.

Number of boys:
`x+14\Rightarrow 493+14=507`

Therefore, 507 boys competed in the Olympics.