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Chapter 6: Problem 3

The 22 million sub-Saharan people (adults and children) currently living with AIDS account for \(67 \%\) of the entire world population infected with the disease. How many people worldwide are infected with AIDS?

Short Answer

Expert verified
Answer: Approximately 32,835,820 people worldwide are infected with AIDS.

Step by step solution

01

Find percentage of people with AIDS in sub-Saharan region as decimal

We're given that the sub-Saharan region has 67% of the entire world population infected with the disease. To work with this percentage, we'll convert it to a decimal. To do this, we divide the percentage by 100: \(67 \% = \frac{67}{100} = 0.67\)
02

Set up a proportion

Now, we'll set up a proportion, where the numerator represents the number of people with AIDS in the sub-Saharan region, and the denominator represents the total number of people with AIDS worldwide. Let's use \(x\) for the total number of people with AIDS: \(\frac{22,000,000}{x} = 0.67\)
03

Solve for the total number of people with AIDS worldwide

To solve for \(x\), we'll multiply both sides of the equation by \(x\) to get rid of the denominator and then solve for \(x\): \(22,000,000 = 0.67x\) Now, divide both sides by 0.67: \(x = \frac{22,000,000}{0.67} \approx 32,835,820\)
04

Conclusion

Therefore, approximately 32,835,820 people worldwide are infected with AIDS.

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