Question

for the positive quantities h, j, and k, 94% of h is equivalent to 47% of j, and j is equivalent to 30% of k. what percentage of k is h?

Explanation:

Step1: Translate first condition

$0.94h = 0.47j$

Step2: Solve for h in terms of j

$h = \frac{0.47}{0.94}j = 0.5j$

Step3: Translate second condition

$j = 0.3k$

Step4: Substitute j into h expression

$h = 0.5 \times 0.3k = 0.15k$

Step5: Convert to percentage

$0.15 = 15\%$

Answer:

15%