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? (Disregard the% sign when entering your answer. For example, if your answer is 39%, enter 39)

For the positive quantities h, j, and k. 94% of h is equivalent to 47% of j, and j is... | SAT Percentages Practice

Answer: $15$

Explanation:1. Translate the given information into equations: "94% of h is equivalent to $47$ % of j": $0.94h = 0.47j$ (Equation 1)

"j is equivalent to 30% of k": $j = 0.30k$ (Equation 2)

Solve Equation 1 for h in terms of j (or j in terms of h): From $0.94h = 0.47j$ , divide both sides by 0.94: $h = \dfrac{0.47}{0.94}j$ $h = \dfrac{1}{2}j$ or $h = 0.5j$
Substitute Equation 2 into the expression for h: We have $h = 0.5j$ and $j = 0.30k$ . Substitute the expression for $j$ from Equation 2 into the equation for $h$ : $h = 0.5(0.30k)$ $h = 0.15k$
Interpret the result as a percentage: The equation $h = 0.15k$ means that h is $0.15$ times $k$ . To express this as a percentage, multiply by $100$ : $0.15 \times 100\% = 15\%$ So, h is $15$ % of k.
Provide the answer in the requested format: The question asks to disregard the % sign. Therefore, the answer is $15$ .