There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the Radiologic Technology program?
A. 162
B. 171
C. 378
D. 189
We use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
If we let x represent the number of students enrolled in the Radiologic Technology program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.
\(\frac{x}{21\%}\ =\ \frac{900}{100\%} \)
Find the value of x by cross-products
\(x\ *\ 100\%\ =\ 900\ students * 21\%\)
Divide both sides of the equation by 100%
\(x= \frac{900\ students\ *\ 21\%}{100\%}\ =\ 189\ students\)
Thus, 189 students out of 900 students will enroll for a respiratory care program.
Therefore, the Correct Answer is D.
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