Question

find the percentage. use the proportion is/of = %/100

1. what percent of $80 is $16?
2. what percent of $75 is $60?
3. what percentof $235 is $148.05?

a 22. 22% 24. 70% 26. 53%
b 22. 20% 24. 80% 26. 63%
c 22. 19% 24. 79% 26. 60%

Explanation:

Question 22:

Step1: Identify "is", "of", and %

"Is" = $16, "of" = $80, let % = \( x \). Using the proportion \( \frac{\text{is}}{\text{of}} = \frac{\%}{100} \), we get \( \frac{16}{80} = \frac{x}{100} \).

Step2: Solve for \( x \)

Cross - multiply: \( 80x = 16\times100 \). Then \( 80x = 1600 \). Divide both sides by 80: \( x=\frac{1600}{80}=20 \). So the percentage is 20%.

Question 24:

Step1: Identify "is", "of", and %

"Is" = $60, "of" = $75, let % = \( x \). Using the proportion \( \frac{\text{is}}{\text{of}} = \frac{\%}{100} \), we get \( \frac{60}{75}=\frac{x}{100} \).

Step2: Solve for \( x \)

Cross - multiply: \( 75x = 60\times100 \). Then \( 75x = 6000 \). Divide both sides by 75: \( x = \frac{6000}{75}=80 \). So the percentage is 80%.

Question 26:

Step1: Identify "is", "of", and %

"Is" = $148.05, "of" = $235, let % = \( x \). Using the proportion \( \frac{\text{is}}{\text{of}}=\frac{\%}{100} \), we get \( \frac{148.05}{235}=\frac{x}{100} \).

Step2: Solve for \( x \)

Cross - multiply: \( 235x = 148.05\times100 \). Then \( 235x = 14805 \). Divide both sides by 235: \( x=\frac{14805}{235}=63 \). So the percentage is 63%.

Answer:

b. 22. 20% 24. 80% 26. 63%