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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

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apologiabiology

x+y=50
x=50-y

quantitytotalconcentrationtotal=quantityxconsentrationx+quantityyconcentratioy

500.60=x0.20+y0.70
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%

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