Question

Paraphrase "First of all, we know that there are 9 students that only took math, so we can directly fill in that empty square. Then, we can figure out how many people took Band and choir by adding 11, 7, and 3 and then subtracting that from the total amount of people who had band class. As a result, we fill in this value as 4 To find out how many people had Mr. Green for math and choir, we can add all the known students and subtract that from the total amount, 57. From this we get 6, as 57-51 = 6. Now that the Venn diagram is filled, we can make conclusions about the second question. To find how many students take exactly 2 classes with Mr. Green we only have to look in the places where two circles intersect and add the values. There are only three of these areas, and when they are added they make 17. So. the amount of people that take 2 classes with Mr. Green are 17 people."

Answer 1

Firstly, we know that 9 students took only math, so we can fill in that blank space. Next, to determine the number of students who took both band and choir, we add 11, 7, and 3, and subtract this sum from the total number of students in the band class. This gives us a value of 4. To find the number of students who had Mr. Green for math and choir, we can add all known students and subtract that total from 57, which results in 6. With the Venn diagram complete, we can now answer the second question. To determine how many students take exactly 2 classes with Mr. Green, we simply add the values from the three overlapping areas, which gives us a total of 17 students.