Multiple choice

A full bucket of paint contains a mixture of 30% blue paint and 70% white paint. A second bucket contains a mixture of 80% blue paint and 20% white paint. The volume of second bucket is 50% more than the first bucket. When both mixtures are combined, find the concentration of blue paint.

  1. 35%

  2. 50%

  3. 60%

  4. 67%

  5. 72%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let volume of first bucket be V. Volume of second is 1.5V. Blue paint in first = 0.3V. Blue paint in second = 0.8 * 1.5V = 1.2V. Total blue = 1.5V. Total volume = 2.5V. Concentration = 1.5V / 2.5V = 0.6 or 60%.

AI explanation

Assume the first bucket has a volume of 100, making its blue paint volume 30. The second bucket has a volume of 150, making its blue paint volume 120. The combined total volume is 250, and the combined blue paint volume is 150. The resulting concentration is 150 divided by 250, which equals 60 percent.

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