a survey was made of 200 students to study their use of the public library. the findings were
60 used readers guide
28 used card cat and info booth
68 used info booth
83 did not use the library
43 used only the card cat
explain how the info can be used to conclude that some students must use both the info booth and readers guide
My, this is an old question! I haven't seen a card catalog for years!
Only 117 used the library.
Since 128 used both the readers' guide and info booth -- obviously some used both.
thank you so much!!
You're welcome.
To conclude that some students must use both the info booth and readers guide, we can analyze the given information from the survey. Let's break it down step by step:
1. Start with the total number of students surveyed: 200.
2. We know that 83 students did not use the library. Therefore, we subtract this number from the total to find out how many students actually used the library: 200 - 83 = 117.
3. Now let's focus on the students who used the card catalog (only): 43.
4. We subtract this number from the total number of students who used the library to find out how many students used either the info booth or the readers guide (or both): 117 - 43 = 74.
5. According to the survey, 68 students used the info booth. Therefore, we subtract this number from the previous result (students who used either the info booth or the readers guide) to determine how many students used only the readers guide: 74 - 68 = 6.
6. The survey also mentions that 60 students used the readers guide. But we know from the previous step that only 6 students used only the readers guide. So to find the number of students who used both the info booth and the readers guide, we subtract the number of students who used only the readers guide from the total number of students who used the readers guide: 60 - 6 = 54.
Therefore, based on the survey findings, we can conclude that 54 students must use both the info booth and the readers guide.