A chemical company mixes pure water with their premium antif

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 90% pure antifreeze. The company wants to obtain 180 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed? Note that the ALEKS graphing calculator can be used to make computations easier.

Solution

let amount of water be x gallons ,premium antifreeze be y gallons

total mixture x+y =180 gallons

(0/100)x+(90/100)y =(20/100)*180

0+90y =3600

y=3600/90

y=40

x+y =180

x+40 =180

x =140

water =140 gallons

premium antifreeze = 40gallons