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Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for

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Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for [#permalink] New post   28 Feb 2016, 09:45
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Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,400. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?

A. 850
B. 1,100
C. 1,700
D. 2,550
E. 3,400
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C
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Re: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for [#permalink] New post   28 Feb 2016, 13:13
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Bunuel wrote:
Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,400. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?

A. 850
B. 1,100
C. 1,700
D. 2,550
E. 3,400


The problem stated is in AP.
Avg price = 3400/4 = 850

Since in AP , 850*2 = 1700 (Sum of 1st and 4th term or 2nd term and third term)
IMO C

To add more.

1 + 2 + 3 + 4 + ....+98 + 99 + 100

100+1 = 99+2 = 98 + 3 = 97 + 4 and goes on till 51+50

This is how the formula N(N+1) divided by 2 got derived.
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Re: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for [#permalink] New post   03 Mar 2016, 03:23
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Bunuel wrote:
Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,400. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?

A. 850
B. 1,100
C. 1,700
D. 2,550
E. 3,400


Assume the cost of the least sized (26 Inch) TV = x
Cost of 28 inches TV = x + 200
Cost of 30 inches TV = x + 400
Cost of 32 inches TV = x + 600

Total cost = 4x + 1200 = 3400
Therefore x = 2200/4 = 550

Price of 28inch + 30 inch = 750 + 950 = 1700
Option C
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Re: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for [#permalink] New post   06 Aug 2019, 18:01
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Bunuel wrote:
Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,400. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?

A. 850
B. 1,100
C. 1,700
D. 2,550
E. 3,400


We can let x = the cost of the 26-inch TV; thus, x + 200, x + 400 and x + 600 are the costs of the 28-inch, 30-inch and 32-in TVs, respectively. Since the total cost of the 28-inch and 30-inch TVs is 2x + 600, which is the same as the total cost of the 26-inch and 32-inch TVs, we see that the total cost of the 28-inch and 30-inch TVs must be half of the total cost of $3,400, or $1,700.

Answer: C
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Re: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for [#permalink]
06 Aug 2019, 18:01
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