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antoniya
2 months ago
14

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the

nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Explain
Mathematics
1 answer:
Inessa [12.5K]2 months ago
8 0
This problem requires mixing 5% and 40% solutions to create 10 liters of 20% concentration. Multiple solutions exist. Assuming all combined volume equals 10L with no waste, let x represent the volume of the 40% solution. Therefore, the 5% solution volume is 10L - x. Applying concentration calculations: 10L × 20% = x × 40% + (10 - x) × 5%. Solving leads to: x = (10L × 15%) / 35% = 4.28L, rounded to 4.3L for the 40% solution. The 5% volume is then 10L - 4.3L = 5.7L.
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