A nurse needs to mix some alcohol solutions, given as a percent by weight of alcohol in water. Thus in a 3% solution, 3% of the weight would be alcohol. She mixes x grams of 3% solution, y grams of 10% solution, and 10 grams of pure water to get a total of 140 grams of a solution which is 8% alcohol:
The total grams equations is: x+y+10=140
The total grams of alcohol equation is: .03x+.1y=11.2
11.2= 140*.08
The question asks:
How many grams of each solution are
needed?