SOLUTION: There are 105 students in a Bio-Chemistry program. The venn diagram shows three of the courses that students may register for. The number of students taking all three courses is de
Algebra ->
sets and operations
-> SOLUTION: There are 105 students in a Bio-Chemistry program. The venn diagram shows three of the courses that students may register for. The number of students taking all three courses is de
Log On
Question 1114654: There are 105 students in a Bio-Chemistry program. The venn diagram shows three of the courses that students may register for. The number of students taking all three courses is denoted by x. Fifty take Chemistry (C) course. All chemistry students are also math (M) students.Sixty-four take biology (B). Sixteen take math only, Nine take math and biology only and 5 take none of the three.
a) Complete the Venn diagram in terms of x where applicable
b) write an equation in terms of x and solve it. Answer by greenestamps(13203) (Show Source):
I can't draw the picture; but I can describe it....
take all 3 (BCM): x (what we are to find)
take BC only: 0 (all Chemistry students also take math)
take BM only: 9 (given)
take CM only: 50-x (the 50 that take Chemistry and therefore math also, minus the x that take all 3)
take M only: 16 (given)
take C only: 0 (all Chemistry students take math also)
take B only: 64-x-9 {the total number of Biology students, minus those who take only BC, minus those who take only BM, minus those who take all 3)
take none: 5 (given)
