Question 515276
Let the number = {{{n}}}
given:
What student was asked to do:
{{{ (1/6)*(n/2) + (1/4)*(n/2) }}}
What student did:
{{{ n/5 }}}
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{{{ n/5 = (1/6)*(n/2) + (1/4)*(n/2) - 4 }}}
{{{ n/5 = n/12 + n/8 - 4 }}}
Multiply both sides by {{{ 120 }}}
{{{ 24n = 10n + 15n - 480 }}}
{{{ 24n = 25n - 480 }}}
{{{ n = 480 }}}
The actual answer is:
{{{ (1/6)*(n/2) + (1/4)*(n/2) }}}
{{{ (1/6)*(480/2) + (1/4)*(480/2) }}} 
{{{ 480/12 + 480/8 }}}
{{{ 40 + 60 = 100 }}}
check:
{{{ 480/5 = 96 }}}
Which is {{{4}}} short of answer