Question 1134422
Let {{{ t }}} = her time in minutes  spent typing
Convert hours to minutes:
{{{ 2*60 = 120 }}} min
{{{ 120 - t }}} = her time in minutes spent proofreading
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In words:
[ rate of typing ] x [ time spent typing ] + [rate of proofreading ] x [ time spent proofreading ] = 38 
{{{ ( 1 / 5 )*t + ( 1/1 )*( 120 - t ) = 38 }}}
Multiply both sides by {{{ 5 }}}
{{{ t + 5*( 120 - t ) = 38 }}}
{{{ t + 600 - 5t = 38*5 }}}
{{{ -4t = -600 + 190 }}}
{{{ 4t = 410 }}}
{{{ t = 102.5 }}} min
and
{{{ 120 - t = 120 - 102.5 }}}
{{{ 120 - t = 17.5 }}} min
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{{{ ( 1/5)*t = (1/5)*102.5 }}}
{{{ (1/5)*t = 20.5 }}}
and
{{{ ( 1/1 )*( 120 - t ) = 120 - 102.5 }}}
{{{ ( 1/1 )*( 120 - t ) = 17.5 }}}
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She typed 20.5 pages and proofread 17.5 pages
( adds up to 38 )
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check my math
Hope it makes sense to you