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

 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

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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

Answer 2

The number of girls in the senior class is 221 girls

Ratios

From the question, we are to determine the number of girls in the senior class

From the given information,

Number of seniors in the school = 375

and

Ratio of boys to girls is 7:10

Then,

$Number\ of\ girls\ in\ the\ senior\ class = \frac{Ratio \of \ girls}{Sum \ of \ ratios} \times Total \ number \ of \ seniors$

Sum of ratios = 7 + 10 = 17

Then,

Number of girls in the senior class = $\frac{10}{17}\times 375$

Number of girls in the senior class = 220.588

Number of girls in the senior class ≅ 221 girls

Hence, the number of girls in the senior class is 221 girls.

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