Multiple choice

Liquid X makes up 10% of solution U and 20% of solution V. If 4 grams of solution U are mixed with 6 grams of solution V, what percent of the resulting solution's weight is made up of liquid X?

  1. 11%

  2. 13%

  3. 16%

  4. 18%

  5. 20%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Amount of X in 4g of U = 0.10 * 4 = 0.4g. Amount of X in 6g of V = 0.20 * 6 = 1.2g. Total X = 1.6g. Total weight = 4 + 6 = 10g. Percentage = (1.6 / 10) * 100 = 16%.

AI explanation

Using the weighted average method, 4 grams of solution U contributes 0.4 grams of liquid X, and 6 grams of solution V contributes 1.2 grams of liquid X. The total weight of liquid X in the mixture is 1.6 grams out of a total mixture weight of 10 grams. This means the resulting solution is 16% liquid X by weight.

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