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If Nash had 12 grandchildren and three times as many grand
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27 May 2018, 03:36
27 May 2018, 03:36
Expert Reply
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Question Stats:
78% (00:42) correct
21% (00:30) wrong based on 76 sessions
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If Nash had 12 grandchildren and three times as many granddaughters as grandsons, how many granddaughters did he have?
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
Re: If Nash had 12 grandchildren and three times as many grand
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27 May 2018, 12:37
27 May 2018, 12:37
1
Expert Reply
Explanation
Rather than assigning separate variables to the granddaughters and grandsons, define them both in terms of the same unknown multiplier, based on the ratio given:
Number of granddaughters = 3m
Number of grandsons = m
Note that you are solving for 3m, not for m!
3m + m = 12
4m = 12
m = 3
3m = 9
Alternatively, suppose that Nash had exactly one grandson and three granddaughters.
That would sum to four grandchildren altogether. Triple the number of grandsons and granddaughters to triple the number of grandchildren.
Rather than assigning separate variables to the granddaughters and grandsons, define them both in terms of the same unknown multiplier, based on the ratio given:
Number of granddaughters = 3m
Number of grandsons = m
Note that you are solving for 3m, not for m!
3m + m = 12
4m = 12
m = 3
3m = 9
Alternatively, suppose that Nash had exactly one grandson and three granddaughters.
That would sum to four grandchildren altogether. Triple the number of grandsons and granddaughters to triple the number of grandchildren.
Re: If Nash had 12 grandchildren and three times as many grand
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10 Sep 2021, 05:03
10 Sep 2021, 05:03
1
i have a doubt i tried solving this using 2 variables now
let x be grandsons
y be granddaughters
its given 3 times as many granddaughters as grandsons does that mean 3y=x
therefore total is x + y = 12
3y + y = 12
y=3 i get granddaughters as 3 and grandsons as 9
please can you explain this question using 2 variables
let x be grandsons
y be granddaughters
its given 3 times as many granddaughters as grandsons does that mean 3y=x
therefore total is x + y = 12
3y + y = 12
y=3 i get granddaughters as 3 and grandsons as 9
please can you explain this question using 2 variables
