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

Answer:

493 girls and 507 boys competed.

Step-by-step 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:

$x+x+14=1000$

$2x+14=1000$

$2x+14-14=1000-14$

$2x=986$

$\frac{2x}{2}=\frac{986}{2}$

$x=493$

Therefore, 493 girls competed in the Olympics.

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

Therefore, 507 boys competed in the Olympics.

Answer 2

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