Gabe Amodeo, a nuclear physicist needs 30 liters of a 40% acid solution. He currently has a 30% solution, and a 60% solution. How many liters of each does he need to make the needed 30 liters of 40% acid solution? Gabe needs liters of the 30% solution. He also needs _ liters of the 60% solution.

Question

Mathematics

Rhys Terry

17 April, 14:27

Gabe Amodeo, a nuclear physicist needs 30 liters of a 40% acid solution. He currently has a 30% solution, and a 60% solution. How many liters of each does he need to make the needed 30 liters of 40% acid solution? Gabe needs liters of the 30% solution. He also needs _ liters of the 60% solution.

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Answers (1)

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Kayleigh Ballard · Answer 1

Ratio of volumes of 30%:60%

= (60-40) : (40-30)

=2:1

Total volume = 30 litres, so 20L of 30% and 10L of 60%.

Alternative:

Let X=volume of 30% acid.

then

0.3X+0.6 (30-X) = 0.4 (30)

-0.3X+18=12

X = (18-12) / 0.3=20L of 30% acid

Volume of 60% acid=30-X=30-20=10 L