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ACT
ACT Math Section

Chemical Concentration Mixture Problem

Very Hard Integrating Essential Skills Arithmetic

A chemist is preparing two solutions of a chemical, Solution A and Solution B. Solution A consists of 10% chemical concentration, while Solution B has a 25% concentration. The chemist aims to combine these solutions to get exactly 50 mL of a solution that has a chemical concentration of 20%.

Let x represent the volume of Solution A in milliliters, and y represent the volume of Solution B in milliliters. The following conditions must be met:

  • x + y = 50
  • 0.10x + 0.25y = 0.20 imes 50

What is the value of y?

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