Question

2.0% of what is 21? use the proportion method.
1050
0.01050
210
105.0
question 13 (5 points)
a medical assistant’s hourly wage was $25.50 before an 8% ra hourly wage? show your work. need help showing your work?
work tutorial.

Explanation:

Step1: Define proportion

Let the number be \( x \). The proportion for percentage is \( \frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100} \). Here, part is 21, percent is 2.0, and whole is \( x \). So we have \( \frac{21}{x}=\frac{2.0}{100} \).

Step2: Cross - multiply

Cross - multiplying gives \( 2.0\times x = 21\times100 \).

Step3: Solve for \( x \)

Simplify the right - hand side: \( 21\times100 = 2100 \). Then, \( x=\frac{2100}{2.0} \). Calculating \( \frac{2100}{2.0}=1050 \). Wait, there is a mistake in the previous thought. Wait, the correct proportion: If we consider "2.0% of \( x \) is 21", then the formula is \( 0.02x = 21 \) (since 2.0%=\( \frac{2.0}{100}=0.02 \)). Then \( x=\frac{21}{0.02}=\frac{21}{\frac{2}{100}}=21\times\frac{100}{2}=1050 \). But the options have 1050 as an option. Wait, maybe I misread the question. Wait, the question is "2.0% of what is 21?". Let's re - do it.

Let the number be \( n \). Then \( 2.0\%\times n=21 \). Convert 2.0% to decimal: \( 2.0\% = 0.02 \). So the equation is \( 0.02n = 21 \). Solve for \( n \): \( n=\frac{21}{0.02}=\frac{21}{\frac{2}{100}}=21\times\frac{100}{2}=1050 \).

Answer:

1050