Problema Solution

How many gallons of a 70% antifreeze solution must be mixed with 80 gallons of 25% antifreeze to get a mixture that is 60% antifreeze?

Answer provided by our tutors

let x be the gallons of a 70% antifreeze

we have: (x*70%+ 80*25%)/(x+80)=60%

=> (0.7x+20)/(x+80)=0.6

=> x=280

so 280 gallons of a 70% antifreeze solution must be mixed with 80 gallons of 25% antifreeze to get a mixture that is 60% antifreeze