During the rapid diagnostic test coronavirus among some people in an urban area, 900 of them were found negative result and it was 3/4 of number of tested people. Rest of them were found suspected of COVID-19 and throat swab was tested. From the tested swab, 3/20 of them were found infected.
a. Find the tested number of people.
b. Find the number od suspected people
Answers & Comments
Answer:
Let's denote the total number of tested people as \( T \).
a. Since 900 people were found negative, and it's 3/4 of the tested people:
\(\frac{3}{4} \times T = 900\)
To find \( T \):
\(T = \frac{900}{\frac{3}{4}}\)
b. The rest of the people were found suspected, which is the difference between the total tested and those found negative:
\( T - 900 \)
Now, to find the number of suspected people, substitute the value of \( T \) from part a into this expression.