daniellecurtis0 daniellecurtis0
  • 04-10-2017
  • Mathematics
contestada

If 9:7 is the ratio, there are here 116 more boys than girls how many total students are there

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jdoe0001 jdoe0001
  • 04-10-2017
now, let's say there are "b" boys and "g" gals... ok... well, we know there are 116 more boys than gals..... so, if there are "g" gals then there must be "g + 116" boys.

[tex]\bf \cfrac{boys}{girls}\qquad 9:7\qquad \cfrac{9}{7}\implies \cfrac{9}{7}=\cfrac{\stackrel{boys}{g+116}}{\stackrel{girls}{g}}\implies 9g=7g+812 \\\\\\ 2g=812\implies g=\cfrac{812}{2}\implies g=\stackrel{girls}{406}[/tex]

what's the total class?  well is g + b or g + ( g + 116).
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