Question 1012411
Let {{{ x }}} = cost in cents of a pencil
{{{ x + 11 }}} = cost in cents of a pen
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{{{ 250x + 250*( x + 11 ) = 4250 }}} ( in cents )
{{{ 250x + 250x + 2750 = 4250 }}}
{{{ 500x = 1500 }}}
{{{ x = 3 }}}
and
{{{ x + 11 = 14 }}}
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Pencils are 3 cents ea.
Pens are 14 cents ea.
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check:
{{{ 250x + 250*( x + 11 ) = 4250 }}}
{{{ 250*3 + 250*( 3 + 11 ) = 4250 }}}
{{{ 750 + 250*14 = 4250 }}}
{{{ 750 + 3500 = 4250 }}}
{{{ 4250 = 4250 }}}
OK