answer the following questions. (a) 27 is what percent of 60? (b) 15% of what is 12?

Explanation:

Step1: Set up the proportion for part (a)

Let $x$ be the percentage. We have the equation $\frac{27}{60}=\frac{x}{100}$.

Step2: Solve for $x$ in part (a)

Cross - multiply: $60x = 27\times100$, so $x=\frac{27\times100}{60}=45$.

Step3: Set up the equation for part (b)

Let $y$ be the number. We have $0.15y = 12$.

Step4: Solve for $y$ in part (b)

Divide both sides by $0.15$: $y=\frac{12}{0.15}=80$.

Answer:

(a) 45 (b) 80