Question 658332
Let {{{ p }}} = number of puppies in the litter
The store paid {{{ 800/p }}} for each puppy
They sold {{{ p - 3 }}} puppies
{{{ 800 / ( p - 3 ) }}} is the money received per puppy
{{{ 800 / ( p-3 ) = 800/p + 60 }}}
Multiply each side by {{{ p*( p - 3 ) }}}
{{{ 800p = 800*( p - 3 ) + 60*p*( p - 3 ) }}}
{{{ 800p = 800p - 2400 + 60p^2 - 180p }}}
{{{ 60p^2 - 180p - 2400 = 0 }}}
{{{ p^2 - 3p - 40 = 0 }}}
Looking at this, I can see
{{{ ( p - 8 )*( p + 5 ) = 0 }}}
{{{ p = 8 }}} ( ignore the negative root )
There are 8 puppies in the litter
check:
They sold all but 3, which is 5 puppies
800/5 = $160 per puppy
160 - 60 = $100
This means they paid $100 for each of the 8 puppies
or $800
OK