Question

Gabe Amodeo, a nuclear physicist, needs 50 liters of a 60% acid solution. He currently has a 20% solution and a 70% solution. How many liters of each does he need to make the needed 50 liters of 60% acid solution

Answer 1

x+y=50
x=50-y

quantitytotal*concentrationtotal=quantityx*consentrationx+quantityy*concentratioy

50*0.60=x*0.20+y*0.70
30=0.2x+0.7y
times 10 both sides
300=2x+7y
sub x=50-y
300=2(50-y)+7y
300=100-2y+7y
300=100+5y
minus 100
200=5y
divide by 5
40=y

x=50-y
x=50-40
x=10

10 lieters of the 20%
40 liters of the 70%