# Thread: Math Question - dividing money

1. ## Math Question - dividing money

Can't seem to create the simultaneous equations this must require. Suggestions?

According to Mrs. Randolph's will, each of her great-grandchildren living in Georgia received \$700 more than each of her great-grandchildren living in Florida. In all, \$206,100 was divided between 36 great-grandchildren. The Georgian great-grandchildren decide that the will wasn't really fair, so they each contribute \$175 to be divided among the Floridian great-grandchildren. If all great-grandchildren now have an equal share, how many great-grandchildren live in Georgia?

2. ## Re: Math Question - dividing money

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">After the redivision, each of the 36 great-grandchildren receives an equal share of \$206,100 / 36 = \$5,725.
Before the redivision, those from Georgia received \$175 more, i.e. \$5,900, and those from Florida \$700 less than that, i.e. \$5,200.
Let's say there are n great-grandchildren from Georgia, so 36-n from Florida.
n*5,900 + (36-n)*5,200 = 206,100, hence 700*n + 187,200 = 206,100 so 700*n = 18,900 from which n = 27.</span hide>

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