Compare A and B in three​ ways, where 

Aequals=1.941.94 

million is the 2012 daily circulation of newspaper X and 

Bequals=2.272.27 

million is the 2012 daily circulation of newspaper Y.

a. Find the ratio of A to B.

b. Find the ratio of B to A.

c. Complete the​ sentence: A is​ ____ percent of B.




Let's compare \( A \) and \( B \) in three ways:

Given:
- \( A = 1.94 \) million (the 2012 daily circulation of newspaper X)
- \( B = 2.27 \) million (the 2012 daily circulation of newspaper Y)

### a. Find the ratio of \( A \) to \( B \):

The ratio of \( A \) to \( B \) is calculated as:
\[
\frac{A}{B} = \frac{1.94}{2.27}
\]
\[
\frac{A}{B} \approx 0.8546
\]

### b. Find the ratio of \( B \) to \( A \):

The ratio of \( B \) to \( A \) is calculated as:
\[
\frac{B}{A} = \frac{2.27}{1.94}
\]
\[
\frac{B}{A} \approx 1.1701
\]

### c. Complete the sentence: \( A \) is \( \_\_\_\_ \) percent of \( B \):

To find the percentage, we calculate:
\[
\text{Percentage} = \left( \frac{A}{B} \right) \times 100\%
\]
\[
\text{Percentage} \approx 0.8546 \times 100\% \approx 85.46\%
\]

### Summary:
1. The ratio of \( A \) to \( B \) is approximately 0.8546.
2. The ratio of \( B \) to \( A \) is approximately 1.1701.
3. \( A \) is approximately 85.46% of \( B \).

Would you like more details or have any questions?

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Here are five relative questions that might interest you:

1. How does the percentage difference between \( A \) and \( B \) change if \( B \) increases by 10%?
2. What would the ratio \( A \) to \( B \) be if \( A \) decreased by 5%?
3. How would the percentage of \( A \) to \( B \) change if both \( A \) and \( B \) were increased by 20%?
4. What would the values of \( A \) and \( B \) need to be for their ratio to be exactly 1?
5. How can these ratios be used to compare growth rates of two newspapers over time?

**Tip:** When comparing two quantities using ratios, remember that you can express the comparison in terms of either ratio or percentage, depending on what is more meaningful for the context.

Compare A and B in three ways, where A = 1.94 million is the 2012 daily circulation of newspaper X and B = 2.27 million is the 2012 daily circulation of newspaper Y. a. Find the ratio of A to B. b. Find the ratio of B to A. c. Complete the sentence: A is ____ percent of B.

Learn how to compare the 2012 daily circulations of two newspapers (1.94 million for newspaper X and 2.27 million for newspaper Y) by calculating the ratios of A to B and B to A, as well as determining what percentage A is of B. Suitable for students in Grades 6-8.

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