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A pharmacist needs to combine a $2\%$ solution of a medication with a $25\%$ solution (of the SAME medication) to make $9$ litres of a $3\%$ solution. Use simultaneous linear equations to determine how many litres of each solution she needs to mix.

Usually I would have an attempt and ask if I am on the right track, but my head is all over the place with this question.

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Let the initial volumes be $a$ and $b$:

$$\begin{cases} a+b=9\\ 0.02a+0.25b=0.03\times9=0.27 \end{cases}$$

Now you can try solving them.

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  • $\begingroup$ I'm still lost from here sorry $\endgroup$
    – Zantheor
    Commented May 8, 2016 at 8:02

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