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Mrs. Evans gave a test to her freshmen economics class, which has 29 06 Dec 2016, 11:08
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91% (01:21) correct 9% (01:46) wrong based on 104 sessions

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Mrs. Evans gave a test to her freshmen economics class, which has 29 students enrolled and 19 of them answered question 1 correctly. If 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?

A. 3
B. 9
C. 11
D. 17
E. 19
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E
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Mrs. Evans gave a test to her freshmen economics class, which has 29 07 Dec 2016, 03:18
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Total number of students enrolled - Student did not take the test = Student answered question 1 correctly + Student answered question 2 correctly - X (students answered both questions correctly)
29 - 5 = 19 + 24 - X
X = 19. Answer E.
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Mrs. Evans gave a test to her freshmen economics class, which has 29 07 Dec 2016, 04:34
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Bunuel
Mrs. Evans gave a test to her freshmen economics class, which has 29 students enrolled and 19 of them answered question 1 correctly. If 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?

A. 3
B. 9
C. 11
D. 17
E. 19
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Number of students enrolled = 29
5 did not take the test so 24 took the test.
All 24 answered question 2 correctly.
So the number of students who answered both correctly are those who answered question 1 correctly too i.e. 19.

Answer (E)
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Mrs. Evans gave a test to her freshmen economics class, which has 29 07 Dec 2016, 09:14
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Bunuel
Mrs. Evans gave a test to her freshmen economics class, which has 29 students enrolled and 19 of them answered question 1 correctly. If 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?

A. 3
B. 9
C. 11
D. 17
E. 19
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\(29 - 5 = 19 + 24 - x\)

Or, x =19

Hence, 19 students answered both questions correctly , answer will be (E)
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Mrs. Evans gave a test to her freshmen economics class, which has 29 08 Dec 2016, 09:33
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Option E)

Total number of enrolled students = 29
Number of students who did not take test = 5
Hence, number of students who took test = 29 - 5 = 24

Number of students who answered Q2 correctly =24, therefore, all students who took test answered Q2 correctly.

So, number of students who answered Q1 correctly, also answered Q2 correctly = 19.

Number of students who answered both Q1 & Q2 correctly = 19.
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Mrs. Evans gave a test to her freshmen economics class, which has 29 10 Dec 2016, 06:17
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Bunuel
Mrs. Evans gave a test to her freshmen economics class, which has 29 students enrolled and 19 of them answered question 1 correctly. If 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?

A. 3
B. 9
C. 11
D. 17
E. 19
Show more

We have an overlapping sets problem with the categories of “question 1” and “question 2.” We can use the following equation to determine how many students answered both questions correctly. Since there are 5 students who didn’t take the test, that means 24 of the 29 students who enrolled did.

Total students who took the test = # answered question 1 correctly + # answered question 2 correctly - # answered both correctly + # answered either correctly

24 = 19 + 24 - both + neither

Notice the total number of students who took the test equals the number of students who answered question 2 correctly. Therefore, the number of students who answered neither question correctly must be 0. So:

24 = 19 + 24 - both + 0

24 = 43 - both

19 = both

Alternate solution: Note that only 24 students took the test. All 24 students correctly answered question 2. Since all students got question 2 correct and 19 of those same 24 students got question 1 correct, there were 19 students who got both questions correct.

Answer: E
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Mrs. Evans gave a test to her freshmen economics class, which has 29 26 Feb 2021, 03:37
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