In Chemistry class, Samantha finds that she can make a certain solution by mixing 0.04 liters of chemical A with 0.02 liters of

Question

2 years ago

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In Chemistry class, Samantha finds that she can make a certain solution by mixing 0.04 liters of chemical A with 0.02 liters of

water (this gives her 0.06 liters of the solution). She wants to make a total of 0.48 liters of this new solution. To do so, how many liters of water will she use?

Mathematics

2 answers:

Jet001 [13] · Answer 1 · 2023-04-15T02:25:56+03:00

Answer:

0.16 liters of water

Step-by-step explanation:

Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.

The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.

Samantha will use 0.16 liters of water to make 0.48 liters of solution.

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Alternate solution

The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.