The following table shows the relationship between students who enroll in advanced Algebra and Chemistry in a particular high school. From a sample of 40 students it is found that 17 are enrolled in Algebra, 12 are enrolled in Chemistry, and six are enrolled in both.
Algebra Not in Algebra Total
Chemistry 6 6 12
Not in Chemistry 11 17 28
Total 17 23 40
Complete the rest of the two-way frequency table above.
Part A: How many students are enrolled in either Algebra or Chemistry?
Part B: If there are 2,000 students in this school, how many (rounded to the nearest whole student) are expected to be enrolled in just Chemistry this year?
6 in chemistry
11 in algebra
6 in both
6+11+6 = 23
2000/40 = 50
12 in chemistry of a sample of 40
12*50 = 600
600 in chemistry of a school of 2000
12/40 = 3/10
When 3 out of every 10 students are in chemistry simply multiply by 200 to find the total students of the school enrolled so that
600/2000 = 3/10