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17 Jun 2021, 07:00
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
73% (02:58) correct
27%
(02:56)
wrong
based on 168
sessions
History
Date
Time
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Not Attempted Yet
A teacher distributed 100 worksheets among the students of three sections in a class. The worksheets were distributed among 6 students of Section A, 12 students of Section B, and 17 students of Section C. The number of worksheets received by 2 students of Section A was equal to the number of worksheets received by 5 students of Section C. The number of worksheets received by 2 students of Section B was equal to the number of worksheets received by 3 students of Section C. How many worksheets did each student of Section C receive? Note: Assume that each student of a particular section received the same number of sheets.
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
17 Jun 2021, 07:52
Kudos
Bookmarks
Each student recieved: A = x; B = y; C = z
6x + 12y + 17z = 100
2x = 5z
x = 5/2 z
6x = 15z
2y = 3z
y = 3/2z
12y = 18z
15z + 18z + 17z = 100
z = 2
6x + 12y + 17z = 100
2x = 5z
x = 5/2 z
6x = 15z
2y = 3z
y = 3/2z
12y = 18z
15z + 18z + 17z = 100
z = 2
17 Jun 2021, 08:21
Kudos
Bookmarks
6A + 12B + 17C = 100
Note: Assume that each student of a particular section received the same number of sheets.
Suppose each student in section C has received 2 sheets.Therefore, total sheets = 17 * 2 = 34.
The remaining 66 is to be divided between A and B.
The number of worksheets received by 2 students of Section A was equal to the number of worksheets received by 5 students of Section C
Worksheet received by 5 students of section C = 2 * 5 = 10
These 10 sheets are received by 2 students of section A which means each student of section A will receive 5 sheets.
So, sheets received in section A = 6 * 5 = 30
Remainign sheets: 66 - 30 = 36 for 12 students of section B.
Hence, each student in section B will receive 3 sheets.
The number of worksheets received by 2 students of Section B (2 * 3 = 6) was equal to the number of worksheets received by 3 students of Section C (3 * 2 = 6) - Satisfied.
Answer B
Note: Assume that each student of a particular section received the same number of sheets.
Suppose each student in section C has received 2 sheets.Therefore, total sheets = 17 * 2 = 34.
The remaining 66 is to be divided between A and B.
The number of worksheets received by 2 students of Section A was equal to the number of worksheets received by 5 students of Section C
Worksheet received by 5 students of section C = 2 * 5 = 10
These 10 sheets are received by 2 students of section A which means each student of section A will receive 5 sheets.
So, sheets received in section A = 6 * 5 = 30
Remainign sheets: 66 - 30 = 36 for 12 students of section B.
Hence, each student in section B will receive 3 sheets.
The number of worksheets received by 2 students of Section B (2 * 3 = 6) was equal to the number of worksheets received by 3 students of Section C (3 * 2 = 6) - Satisfied.
Answer B
