Question

Compare A and B in three ways, where A = 51527 is the number of deaths due to a deadly disease in the United States in 2005 and B = 17241 is the number of deaths due to the same disease in the United States in 2009. 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.

Answer 1

Ratio of A to B = 2.99 (to 2 decimal places)

Ratio of B to A = 0.33 (to 2 decimal places)

A is 299% of B (to nearest integer)

STEP BY STEP EXPLANATION

for ratio of A to B:

`\begin{gathered} (A)/(B)\text{ = }(51527)/(17241)\text{ = }2.98863 \\ \text{ = 2.99 (to 2 decimal places)} \end{gathered}`

for ratio of B to A:

`\begin{gathered} (B)/(A)\text{ = }(17241)/(51527)\text{ = 0.33460 } \\ \text{ = 0.33 (to 2 decimal places)} \end{gathered}`

A is x % of B:

`\begin{gathered} A\text{ = }(x)/(100)* B \\ x\text{ = }\frac{100\text{ }* A}{B} \\ x\text{ = }\frac{100\text{ }*\text{ 51527}}{17241}\text{ = 298.86} \\ x\text{ = 299\% (to nearest integer)} \end{gathered}`

Hence, the ratio of A to B = 2.99 (to 2 decimal places), B to A = 0.33 (to 2 decimal places) and A is 299% of B (to nearest integer).