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At a school:

number of boys:number of girls = 11:9

there are 124 more boys than girls at the school

work out the total number of students at the school

jakeharris02  Oct 7, 2017
 #1
avatar+87569 
+1

Let the number of girls  = G

Then, the number of boys =  G + 124

 

So we have this

 

[ G + 124 ]/ G  =  11 / 9        cross-multiply

 

9 G + 1116 = 11G            subtract 9G from both sides

 

1116  =  2G                   divide both sides by 2

 

558  =  number of girls

 

And   558 + 124  = 682  =  number of boys

 

And     682 / 558  =  11/9

 

So....there are  682 + 558  =  1240  total students

 

 

 

cool cool cool

CPhill  Oct 7, 2017

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