Question 984687
Let {{{ x }}} = gallons of 15% solution to be added
{{{ .15x }}} = gallons of dye in 15% solution
{{{ .35*3 = 1.05 }}} = gallons of dye in 35% solution
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{{{ ( .15x + 1.05 ) / ( x + 3 ) = .25 }}}
{{{ .15x + 1.05 = .25*( x + 3 ) }}}
{{{ .15x + 1.05 = .25x + .75 }}}
{{{ .1x = .3 }}}
{{{ x = 3 }}}
3 gallons of the 15% dye solution should be added
check:
{{{ ( .15x + 1.05 ) / ( x + 3 ) = .25 }}}
{{{ ( .15*3 + 1.05 ) / ( 3 + 3 ) = .25 }}}
{{{ ( .45 + 1.05 ) / 6 = .25 }}}
{{{ 1.5 = 6*.25 }}}
{{{ 1.5 = 1.5 }}}
OK