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Dropdown 1: 20
Dropdown 2: 15
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
57% (03:04) correct
43%
(03:18)
wrong
based on 138
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Not Attempted Yet
The figure below shows what is known regarding the Spanish and French language abilities of applicants for a marketing job at C’est La Vie Advertising.
During the application vetting process, the C’est La Vie hiring manager only records applicants who either do not speak French or do not speak either French or Spanish, as shown in the figure If a successful applicant must be fluent in both French and Spanish, choose from each drop-down menu the option that creates the most accurate statement based on the provided information.
The maximum possible number of qualified applicants is . However, if the number of applicants speaking only French was 1/7 of those speaking only Spanish, the number of qualified applicants would be .
Hiring agency.png [ 41.23 KiB | Viewed 2863 times ]
During the application vetting process, the C’est La Vie hiring manager only records applicants who either do not speak French or do not speak either French or Spanish, as shown in the figure If a successful applicant must be fluent in both French and Spanish, choose from each drop-down menu the option that creates the most accurate statement based on the provided information.
The maximum possible number of qualified applicants is . However, if the number of applicants speaking only French was 1/7 of those speaking only Spanish, the number of qualified applicants would be .
Attachment:
Hiring agency.png [ 41.23 KiB | Viewed 2863 times ]
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Dropdown 1: 20
Dropdown 2: 15
20 Sep 2024, 10:15
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1. Both parts of the question ask us about the number of qualified applicants. Let that be Q.
2. We can draw out a chart using information from the Venn diagram.
3. Since we know about 60 (or 35 + 25) of the applicants, then there are 20 left. Let the number of people who speak both languages be B. Then, the number of people who speak only French are 20 - B. Because both numbers have to be larger than zero, 0 \(\leq\) B \(\leq\) 20.
4. We know that since a qualified applicant has to know both languages, the number of them is more than or equal to the number of qualified applicants. In other words: Q \(\leq\) B.
5. The first part of the question asks us about what is the maximum value of Q with no other restrictions. We know that Q \(\leq\) B \(\leq\) 20. So, max{Q} = 20.
6. The second part of the question introduces a new restriction that says that the number of applicants speaking only French was 1/7 of those speaking only Spanish. In other words: 20 - B = \(\frac{1}{7} * 35 = 5 \rightarrow\) B = 15.
7. Now we know that Q \(\leq\) B, which means Q \(\leq\) B = 15. So, max{Q} = 15.
8. Our answer will then be 20 and 15.
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I believe that the 2nd part of the question should clarify that they're asking for the maximum number of qualified applicants.
2. We can draw out a chart using information from the Venn diagram.
| Speak French | Don't Speak French | |
| Speak Spanish | ? | 35 |
| Don't Speak Spanish | ? | 25 |
3. Since we know about 60 (or 35 + 25) of the applicants, then there are 20 left. Let the number of people who speak both languages be B. Then, the number of people who speak only French are 20 - B. Because both numbers have to be larger than zero, 0 \(\leq\) B \(\leq\) 20.
| Speak French | Don't Speak French | |
| Speak Spanish | B | 35 |
| Don't Speak Spanish | 20 - B | 25 |
4. We know that since a qualified applicant has to know both languages, the number of them is more than or equal to the number of qualified applicants. In other words: Q \(\leq\) B.
5. The first part of the question asks us about what is the maximum value of Q with no other restrictions. We know that Q \(\leq\) B \(\leq\) 20. So, max{Q} = 20.
6. The second part of the question introduces a new restriction that says that the number of applicants speaking only French was 1/7 of those speaking only Spanish. In other words: 20 - B = \(\frac{1}{7} * 35 = 5 \rightarrow\) B = 15.
7. Now we know that Q \(\leq\) B, which means Q \(\leq\) B = 15. So, max{Q} = 15.
8. Our answer will then be 20 and 15.
----------------------------
I believe that the 2nd part of the question should clarify that they're asking for the maximum number of qualified applicants.
