Multiple choice

In a lab, three chemicals P, Q, and R are mixed in a ratio such that p/4 = q/5 = r/6, where p, q, r are the respective quantities. If the total amount of the mixture is 60 grams, how much of p is present?

  1. 12 grams

  2. 15 grams

  3. 16 grams

  4. 18 grams

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

Given p/4 = q/5 = r/6 = k, then p=4k, q=5k, r=6k. Total 4k+5k+6k = 15k = 60, so k=4. Thus p = 4*4 = 16 grams.

AI explanation

Given the equation p/4 equals q/5 equals r/6, we can represent the quantities as 4k, 5k, and 6k for p, q, and r respectively. The total amount of the mixture is 4k plus 5k plus 6k, which equals 15k grams. Since the total mixture is 60 grams, we have 15k equals 60, so k equals 4. The quantity of p is 4k, which equals 4 times 4, or 16 grams.

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