Gibbs Bright
05/29/2024 · Primary School
Riley wants to make 100 mL of a \( 25 \% \) saline solution but only has access to \( 12 \% \) and \( 38 \% \) saline mixtures. Which of the following system of equations correctly describes this situation if \( x \) represents the amount of the \( 12 \% \) solution used, and \( y \) represents the amount of the \( 38 \% \) solution used? \[ \begin{array}{r}\text { a.) } 0.38 x+0.12 y=0.25(100) \\ x+y=100\end{array} \] \( \begin{array}{r}\text { b.) } 0.12 x+0.38 y=0.25(100) \\ x+y=100\end{array} \) \( \begin{array}{l}0.12 x+0.38 y=100 \\ x+y=0.25(100)\end{array} \) \( \begin{array}{r}\text { c.) } 0.38 x+0.12 y=100 \\ x+y=0.25(100)\end{array} \)
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The correct system of equations is \( 0.12x + 0.38y = 25 \) and \( x + y = 100 \). Therefore, the correct answer is b.
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