Multiple choice

In a nutrition research facility, scientists are experimenting with five distinct protein solutions. Solution A contains 8% protein by weight, solution B consists of 12% protein, solution C is made up of 15% protein, solution D comprises 20% protein, and solution E contains 25% protein. If the researchers mix 10 pounds of solution A, 15 pounds of solution B, 20 pounds of solution C, 25 pounds of solution D, and 30 pounds of solution E, which of the following choices gives the best approximation for the resulting mixture's percentage of protein?

  1. 18%

  2. 22%

  3. 28%

  4. 30%

  5. 32%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total protein = (10*0.08) + (15*0.12) + (20*0.15) + (25*0.20) + (30*0.25) = 0.8 + 1.8 + 3 + 5 + 7.5 = 18.1 lbs. Total weight = 10+15+20+25+30 = 100 lbs. Percentage = 18.1/100 = 18.1%.

AI explanation

To find the resulting protein percentage, calculate the total weight of protein from each solution and divide by the total weight of the mixture. The total protein is 0.8 pounds from A, 1.8 pounds from B, 3 pounds from C, 5 pounds from D, and 7.5 pounds from E, summing to 18.1 pounds. The total weight of the mixture is 100 pounds, so the resulting percentage is approximately 18%.

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