Respuesta :
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
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:
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 [tex]x+14[/tex].
We are also told that the total number of participants is 1000. We can represent this information in an equation as:
[tex]x+x+14=1000[/tex]
[tex]2x+14=1000[/tex]
[tex]2x+14-14=1000-14[/tex]
[tex]2x=986[/tex]
[tex]\frac{2x}{2}=\frac{986}{2}[/tex]
[tex]x=493[/tex]
Therefore, 493 girls competed in the Olympics.
Number of boys: [tex]x+14\Rightarrow 493+14=507[/tex]
Therefore, 507 boys competed in the Olympics.
