Question 847163
Let {{{ g }}} = number of girls
Let {{{ b }}} = number of boys
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{{{ 15g = 10b }}}
The numbers that make this true are:
{{{ g = 10n }}} and
{{{ b = 15n }}} where {{{ n }}} is any whole number
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The total number of books is {{{ 10b }}}
I want to divide this number by {{{ g + b }}}
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{{{ ( 10*15n ) / ( 10n + 15n ) }}}
{{{ (n/n)*(( 150 ) /  ( 25 )) = 6 }}}
Each student gets 6 books
check:
{{{ 6*( g + b ) = 10b }}}
{{{ 6g + 6b  = 10b }}}
{{{ 4b = 6g }}}
{{{ g/b = 2/3 }}}
OK
There may be a more direct way of solving this
I just kind of followed my own logic