Question 859959
He makes a profit of {{{ 10 }}} cents on each head he buys.
So, he makes a profit of {{{ 10 }}} cents on each head in a crate
Let {{{ x }}} = the number of heads in a crate
10% cannot be sold, so he sells {{{ .9x }}} heads at {{{ 40 }}} cents each
{{{ .4*(.9x) = .36x }}} is what he sells the {{{ .9x }}} heads for
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The grocer's profit is {{{ .1x }}} ( 10 cents on each head int he crate )
{{{ .36x - 5.2 = .1x }}}
{{{ .26x = 5.2 }}}
{{{ x = 20 }}}
There are 20 heads in a crate
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check:
10% can't be sold- that is {{{ .1*20 = 2 }}} heads
He sells {{{ 18 }}} heads at 40 cents each
{{{ 18*.4 = 7.2 }}}
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His profit is {{{ .1*20 = 2 }}} dollars
{{{ 7.2 - 5.2 = 2 }}}
{{{ 2 = 2 }}}
OK