emmap1007
Answered

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8th grade math!!! PLEASE HELP BRAINLIST

The number of boys in the eighth grade is equal to 100 minus the number of girls. There are 10 more boys than girls in the eighth grade.
How many girls are in the eighth grade?

Sagot :

MrRoyal

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

Read more about system of equations at:

https://brainly.com/question/14323743

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