Question 4 Anastasia needs 40 milliliters of a \( 38 \% \) acid solution for a chemistry experiment. She has two acid solutions, A and B, that can be mixed together to form the solution. Solution A is \( 30 \% \) acid, and Solution B is \( 40 \% \) acid. How much of each solution should she use to create the mixture? She should use She should use Question Help: Milliliters of Solution A. Submit Question Jump to Answer

To create a \( 38\% \) acid solution from \( 30\% \) Solution A and \( 40\% \) Solution B, Anastasia can use a system of equations. Let \( x \) represent the milliliters of Solution A and \( y \) the milliliters of Solution B. Thus, we can establish that \( x + y = 40 \) and \( 0.3x + 0.4y = 0.38(40) \). Solving this system, she will need \( 20 \) mL of Solution A and \( 20 \) mL of Solution B. Mixing solutions might seem straightforward, but it’s crucial to double-check concentrations. A common mistake could be overlooking the total volume when setting up the equations. Always ensure that the amounts of solutions maintain the target concentration after mixing, as small errors can lead to significantly incorrect results!