Question 1101350
Let {{{ x }}} = gallons of apple juice needed
{{{ ( 12.5x + 31.5*25 ) / ( x + 25 ) = 25 }}}
{{{ 12.5x + 787.5 = 25*( x + 25 ) }}}
{{{ 12.5x + 787.5 = 25x + 625 }}}
{{{ 12.5x = 162.5 }}}
{{{ x = 13 }}}
13 gallons of apple juice are needed
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check:
{{{ ( 12.5x + 787.5 ) / ( x + 25 ) = 25 }}}
{{{ 12.5*13 + 787.5 = 25*( 13 + 25 ) }}}
{{{ 162.5 + 787.5 = 25*38 }}}
{{{ 950 = 950 }}}
OK