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Teachers and students at a school are solving problems. There are twic
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31 Mar 2021, 09:26
31 Mar 2021, 09:26
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66% (02:13) correct
33% (02:16) wrong based on 12 sessions
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Teachers and students at a school are solving problems. There are twice as many students as teachers, and each student solves 3 more problems than each teacher. If teachers solve 24 of the 90 total problems solved, how many problems does each teacher solve?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
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Teachers and students at a school are solving problems. There are twic
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31 Mar 2021, 11:03
31 Mar 2021, 11:03
1
GeminiHeat wrote:
Teachers and students at a school are solving problems. There are twice as many students as teachers, and each student solves 3 more problems than each teacher. If teachers solve 24 of the 90 total problems solved, how many problems does each teacher solve?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
Problems solved by Teachers \(= 24\)
So, Problems solved by Students = \(90 - 24 = 66\)
Let the number of Teachers be \(T\) and Students be \(S\)
We are given that \(S = 2T\)
\(T\) have solved \((3)(8)\)
\(2T\) have solved \((2)(3)(11)\)
We can see that Number of Teachers are \(3\) and students are \(6\)
So, \(3\) teachers have solved \(8\) questions each!
Hence, option E
Re: Teachers and students at a school are solving problems. There are twic
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13 Jan 2022, 12:19
13 Jan 2022, 12:19
1
24 is not divisible by 3, 5 so A,C out let's check D first 6 each so 4T and 8S 66 has doesn't have 8 as a factor so out, let's
check B 6T so 12S again 12 not a factor of 66 so out. Left with E. Let's check to confirm 8 so 3T and 6S 6 is a factor, let's check further 8+3 = 11 so 6×11 = 66 correct answer.
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check B 6T so 12S again 12 not a factor of 66 so out. Left with E. Let's check to confirm 8 so 3T and 6S 6 is a factor, let's check further 8+3 = 11 so 6×11 = 66 correct answer.
Posted from my mobile device
