There are 55 girls in the eighth grade
Representation
Represent the boys with b, and the girls with g.
System of equations
So, the equations are:
[tex]b = 100 - g[/tex]
[tex]g=10 + b[/tex]
Substitute 10 + b for g in the first equation
[tex]b=100 - (10 +b)[/tex]
Expand the equation
[tex]b=100 - 10 -b[/tex]
Add b to both sides of the equation
[tex]2b=100 - 10[/tex]
[tex]2b=90[/tex]
Divide both sides by 2
[tex]b=45[/tex]
Substitute 45 for b in [tex]g=10 + b[/tex]
[tex]g =10 + 45[/tex]
[tex]g =55[/tex]
Hence, there are 55 girls in the eighth grade
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