To find the number of liters of pure dye in each solution, you can use the formula:
\[ \text{Liters of pure dye} = \text{Liters of solution} \times \text{Percent (as a decimal)} \]
Let's break it down for each solution:
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For the first solution (x liters, 0.20): \[ \text{Liters of pure dye} = x \times 0.20 \]
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For the second solution (y liters, 0.59): \[ \text{Liters of pure dye} = y \times 0.59 \]
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For the third solution (260 liters, 0.50): \[ \text{Liters of pure dye} = 260 \times 0.50 = 130 \text{ liters of pure dye} \]
Now, if you want to calculate the liters of pure dye for the first two solutions (x and y), we need their respective values. If you have additional information regarding x and y (e.g. their total or any relationships between them), you can substitute those values to calculate the liters accordingly.
For completeness, if you want to express the relationships in terms of x and y, you might have additional constraints or equations that you'd need to consider, so please provide that information if available.