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John’s car dealership contains m cars, 20% of which are minivans and 8
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26 Aug 2021, 01:26
26 Aug 2021, 01:26
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John’s car dealership contains m cars, 20% of which are minivans and 80% are sedans. Kevin’s car dealership contains n cars, 40% of which are minivans are 60% are trucks. Larry’s car dealership contains p cars, 50% of which are minivans and 50% of which are convertibles. If 25% of the m + n + p cars contained at the three dealerships are minivans, what is m in terms of n and p?
(A) n + 3p
(B) 3n + 5p
(C) 4n + 5p
(D) n+5p/2
(E) 4n+5p/3
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) n + 3p
(B) 3n + 5p
(C) 4n + 5p
(D) n+5p/2
(E) 4n+5p/3
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
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Joined: 19 Nov 2020
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GRE 1: Q160 V152
Re: John’s car dealership contains m cars, 20% of which are minivans and 8
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26 Aug 2021, 12:21
26 Aug 2021, 12:21
(m+n+p)/4=m/5+2n/5+p/2
m+n+p=4m/5+8n/5+2p
m-4m/5=8n/5+2p-n-p
MULTIPLY LHS & RHS BY 5
5m-4m=8n+10p-5n-5p
m=3n+5p
Answer is B
m+n+p=4m/5+8n/5+2p
m-4m/5=8n/5+2p-n-p
MULTIPLY LHS & RHS BY 5
5m-4m=8n+10p-5n-5p
m=3n+5p
Answer is B
Carcass wrote:
John’s car dealership contains m cars, 20% of which are minivans and 80% are sedans. Kevin’s car dealership contains n cars, 40% of which are minivans are 60% are trucks. Larry’s car dealership contains p cars, 50% of which are minivans and 50% of which are convertibles. If 25% of the m + n + p cars contained at the three dealerships are minivans, what is m in terms of n and p?
(A) n + 3p
(B) 3n + 5p
(C) 4n + 5p
(D) n+5p/2
(E) 4n+5p/3
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) n + 3p
(B) 3n + 5p
(C) 4n + 5p
(D) n+5p/2
(E) 4n+5p/3
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Re: Johns car dealership contains m cars, 20% of which are minivans and 8
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05 Mar 2024, 23:26
05 Mar 2024, 23:26
1
From the information given we can conclude that total number of minivans. Say, 'MV' would be
MV = 0.2m+0.4n+0.5p
Also, it has been given that 0.25(m+n+p) = 'MV'
Equate MV in above 2 equations we get
0.2m+0.4n+0.5p = 0.25(m+n+p)
Simplify it,
2m+4n+5p = 2.5(m+n+p)
Which when further simplified equals to
1.5n+2.5p = 0.5m
i.e.
3n+5p = m
B is the answer
Thanks
Daksh Kumar
MV = 0.2m+0.4n+0.5p
Also, it has been given that 0.25(m+n+p) = 'MV'
Equate MV in above 2 equations we get
0.2m+0.4n+0.5p = 0.25(m+n+p)
Simplify it,
2m+4n+5p = 2.5(m+n+p)
Which when further simplified equals to
1.5n+2.5p = 0.5m
i.e.
3n+5p = m
B is the answer
Thanks
Daksh Kumar
