Question

There are 375 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

Answer 1

125? Girls
Are
In
The
Senior class

Answer 2

 There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class? 
210 
147 
117 
107

(Scroll Down for Answer!)
Let x=# of boys and y=# of girls 

Because "There are 357 seniors", this means that . Solving for "y", we get  


Since "The ratio of boys to girls is 7:10", this tells us that we have the ratio: 

 


 Start with the given equation 


 Plug in  


 Cross multiply 


 Distribute. 


 Subtract  from both sides. 



 Subtract  from both sides. 


 Combine like terms on the left side. 


 Divide both sides by  to isolate . 


 Reduce. So there are 147 boys 


 Go back to the isolated equation 


 Plug in  


 Subtract. So there are 210 girls 


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Answer: 

So there are 147 boys and 210 girls