Virginia and Campbell had 100 kilograms of a 20% glycol solution. How much of a 40% glycol solution should be added to get a solution that is 35% glycol?

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Answer 1 · 2015-10-09T19:46:05

#33 1/3# kgm

Suppose we need to add #color(red)(x)# kgm of #color(red)(40%)# glycol to the #color(blue)(100)# kgm of #color(blue)(20%)# glycol solution

The resulting mass would be #color(green)((100+x))# kgm (at a concentration of #color(green)(25%)#)

#color(blue)(20% xx 100) + color(red)(40% xx x) = color(green)(25% xx (100+x))#

#rArrcolor(white)("XX")color(blue)(20)+color(red)(2/5x) = color(green)(25+1/4x)#

#rArrcolor(white)("XX")(color(red)(2/5)-color(green)(1/4))x = color(green)(25)-color(blue)(20)#

#rArrcolor(white)("XX")3/20x= 5#

#rArrcolor(white)("XX")x=100/3 = 33 1/3#