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A bag of n peanuts can be divided
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25 Apr 2021, 11:37
25 Apr 2021, 11:37
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A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when nm is divided by 18?
A. 3
B. 5
C. 6
D. 10
E. 122
I chose n= 15 and m= 16 , so ( 15 x 16) / 18 = 40/3 . So, the reminder is 1. But the answer isn't in the options. May someone clarifies ?
A. 3
B. 5
C. 6
D. 10
E. 122
I chose n= 15 and m= 16 , so ( 15 x 16) / 18 = 40/3 . So, the reminder is 1. But the answer isn't in the options. May someone clarifies ?
A bag of n peanuts can be divided
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26 Apr 2021, 00:10
26 Apr 2021, 00:10
1
A bag of \(n\) peanuts
9 smaller bags with 6 peanuts left over - take the no of smaller bags \(x\)
\(n = 9x + 6\)
A bag of \(m\) peanuts
12 smaller bags with 4 peanuts left over - take the no of smaller bags \(y\)
\(m = 12y + 4\)
\(mn = (9x+6)(12y+4)\)
= \(108xy + 36x + 72y + 24\) = \(108xy + 36x + 72y + 18\) + 6
When divided by 18 , 6 will be left over
Answer C
9 smaller bags with 6 peanuts left over - take the no of smaller bags \(x\)
\(n = 9x + 6\)
A bag of \(m\) peanuts
12 smaller bags with 4 peanuts left over - take the no of smaller bags \(y\)
\(m = 12y + 4\)
\(mn = (9x+6)(12y+4)\)
= \(108xy + 36x + 72y + 24\) = \(108xy + 36x + 72y + 18\) + 6
When divided by 18 , 6 will be left over
Answer C
Re: A bag of n peanuts can be divided
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26 Apr 2021, 00:59
26 Apr 2021, 00:59
rx10 wrote:
A bag of \(n\) peanuts
9 smaller bags with 6 peanuts left over - take the no of smaller bags \(x\)
\(n = 9x + 6\)
A bag of \(m\) peanuts
12 smaller bags with 4 peanuts left over - take the no of smaller bags \(y\)
\(m = 12y + 4\)
\(mn = (9x+6)(12y+4)\)
= \(108xy + 36x + 72y + 24\) = \(108xy + 36x + 72y + 18\) + 6
When divided by 18 , 6 will be left over
Answer C
9 smaller bags with 6 peanuts left over - take the no of smaller bags \(x\)
\(n = 9x + 6\)
A bag of \(m\) peanuts
12 smaller bags with 4 peanuts left over - take the no of smaller bags \(y\)
\(m = 12y + 4\)
\(mn = (9x+6)(12y+4)\)
= \(108xy + 36x + 72y + 24\) = \(108xy + 36x + 72y + 18\) + 6
When divided by 18 , 6 will be left over
Answer C
You didn't answer my question, rather you solved it the by algebra .
