Question 1054911
Let {{{ n }}} = the number of apples he bought
{{{ n - 16 }}} = the number of apples he sold
{{{ 294/n }}} = the original cost/apple
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The profit was $84, so he sold {{{ n - 16 }}}
apples for {{{ 294 + 84 = 378 }}}
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{{{ 378/( n-16 ) }}} = the cost/apple for the ones he sold
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Each apple is sold for 40% more than it cost
{{{ 378/( n-16 ) = 1.4*( 294/n ) }}}
Multiply both sides by {{{ n*( n-16 ) }}}
{{{ 378n = 1.4*294*( n-16 ) }}}
{{{ 378n = 411.6*( n - 16 ) }}}
{{{ 378n = 411.6n - 6585.6 }}}
{{{ 33.6n = 6585.6 }}}
{{{ n = 196 }}}
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He bought 196 apples
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check:
{{{ 294/196 = 1.5 }}}
$1.50 is the original cost/apple
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A 40% increase in cost is: {{{ 1.4*1.5 = 2.1 }}}
He sold {{{ 196 - 16 = 180 }}} apples
for $2.10 each
{{{ 180*2.1 = 378 }}} $378
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His profit was:
{{{ 378 - 294 = 84 }}} $84
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Looks OK, you might want a 2nd opinion, too
& check my math