A tank contains 250 L of dye solution. If 15% is drained and replaced with water, what is the new concentration of dye in the tank?

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Multiple Choice

A tank contains 250 L of dye solution. If 15% is drained and replaced with water, what is the new concentration of dye in the tank?

Explanation:
The change in concentration comes from diluting with water while keeping the same total volume. When you drain 15% of the solution, you remove 15% of the dye as well, leaving 85% of the original dye behind. Start with 250 L of dye solution; after draining, the dye remaining is 0.85 × 250 = 212.5 L. You then add 37.5 L of water to bring the total back to 250 L, but the dye amount stays at 212.5 L. The new concentration is 212.5 / 250 = 0.85, or 85%.

The change in concentration comes from diluting with water while keeping the same total volume. When you drain 15% of the solution, you remove 15% of the dye as well, leaving 85% of the original dye behind. Start with 250 L of dye solution; after draining, the dye remaining is 0.85 × 250 = 212.5 L. You then add 37.5 L of water to bring the total back to 250 L, but the dye amount stays at 212.5 L. The new concentration is 212.5 / 250 = 0.85, or 85%.

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