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primary 6 | Maths
| Data Analysis
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Date Posted: 4 years ago
Views: 591
Non-algebra method :
Mrs Wang : 7 times as many men as women
Women she shook hands with : 1 unit (this doesn't include herself)
Total men (she shook hands with all the men): 7 units
Mr Wang : 6 times as many men as women
Total women : 1 unit + 1 (must include Mrs Wang)
Men he shook hands with : 6 x (1unit + 1)
= 6 units + 6
Total men = 6 units + 6 + 1 (adding himself)
= 6units + 7
So 6 units + 7 = 7 units since number of men is not changed.
1 unit = 7
Total number of women = 7 + 1 = 8
Total number of men = 7 x 7 = 49
Mrs Wang : 7 times as many men as women
Women she shook hands with : 1 unit (this doesn't include herself)
Total men (she shook hands with all the men): 7 units
Mr Wang : 6 times as many men as women
Total women : 1 unit + 1 (must include Mrs Wang)
Men he shook hands with : 6 x (1unit + 1)
= 6 units + 6
Total men = 6 units + 6 + 1 (adding himself)
= 6units + 7
So 6 units + 7 = 7 units since number of men is not changed.
1 unit = 7
Total number of women = 7 + 1 = 8
Total number of men = 7 x 7 = 49
See 1 Answer
Let the number of men be x and the number of women be y
(x-1) = 6y
x = 6y+1 — eqn (1)
x = 7(y-1) — eqn (2)
6y+1 = 7y-7
y = 8
x = 49
(x-1) = 6y
x = 6y+1 — eqn (1)
x = 7(y-1) — eqn (2)
6y+1 = 7y-7
y = 8
x = 49
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