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A watch dealer has a total of N watches in his stock on Monday. He sol
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12 Apr 2023, 00:25
12 Apr 2023, 00:25
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A watch dealer has a total of N watches in his stock on Monday. He sold half of the stock of watches on Tuesday. However, 15 of the sold watches were returned on Wednesday. The number of watches in stock on Thursday is N–28. What is the value of N? (Note : There was no other wathces sold or added in the stock.)
29
43
71
86
101
29
43
71
86
101
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: A watch dealer has a total of N watches in his stock on Monday. He sol
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17 Apr 2023, 00:24
17 Apr 2023, 00:24
1
Expert Reply
Let's follow the given information step by step to determine the value of N.
On Monday, the watch dealer had N watches in stock.
On Tuesday, the dealer sold half of the stock of watches, which would be N/2 watches.
However, on Wednesday, 15 of the sold watches were returned. So, the total number of watches in stock after the returns would be N/2 + 15.
On Thursday, the number of watches in stock is given as N - 28.
According to the given information, N - 28 is equal to N/2 + 15, since the number of watches in stock on Thursday is equal to the number of watches in stock after returns on Wednesday.
Now we can solve for N:
N - 28 = N/2 + 15
Multiplying both sides by 2 to eliminate the fraction:
2(N - 28) = N + 30
Expanding the left-hand side:
2N - 56 = N + 30
Subtracting N from both sides:
N - 56 = 30
Adding 56 to both sides:
N = 30 + 56
N = 86
So, the value of N, which represents the total number of watches in stock on Monday, is 86.
On Monday, the watch dealer had N watches in stock.
On Tuesday, the dealer sold half of the stock of watches, which would be N/2 watches.
However, on Wednesday, 15 of the sold watches were returned. So, the total number of watches in stock after the returns would be N/2 + 15.
On Thursday, the number of watches in stock is given as N - 28.
According to the given information, N - 28 is equal to N/2 + 15, since the number of watches in stock on Thursday is equal to the number of watches in stock after returns on Wednesday.
Now we can solve for N:
N - 28 = N/2 + 15
Multiplying both sides by 2 to eliminate the fraction:
2(N - 28) = N + 30
Expanding the left-hand side:
2N - 56 = N + 30
Subtracting N from both sides:
N - 56 = 30
Adding 56 to both sides:
N = 30 + 56
N = 86
So, the value of N, which represents the total number of watches in stock on Monday, is 86.
gmatclubot
Re: A watch dealer has a total of N watches in his stock on Monday. He sol [#permalink]
17 Apr 2023, 00:24
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