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Question
school enrollment
there are currently 420 freshmen enrolled in the high school. about 65% of the seniors enrolled in the high school will attend college next year. which is most likely the number of seniors currently enrolled in the high school who will attend college next year?
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first determine the number of students represented by the graph. then find the number of seniors. only 65% of the seniors are attending college next year.
a 319
b 273
c 234
Step1: Find total number of students
Let the total number of students be $x$. Since freshmen are 28% of the total and there are 420 freshmen, we have the equation $0.28x = 420$. Solving for $x$, we get $x=\frac{420}{0.28}=1500$.
Step2: Find number of seniors
Seniors are 24% of the total number of students. So the number of seniors is $0.24\times1500 = 360$.
Step3: Find number of seniors going to college
65% of the seniors will attend college next - year. So the number of seniors going to college is $0.65\times360=234$.
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C. 234