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Boat World sells a certain boat and a certain trailer. What is the pri

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Boat World sells a certain boat and a certain trailer. What is the pri  [#permalink]

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New post 30 Jul 2018, 06:09
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Question Stats:

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Boat World sells a certain boat and a certain trailer. What is the price of the trailer?


(1) The price of the boat is $7,500 more than the price of the trailer.

(2) The combined price of the boat and trailer is $15,000.

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Re: Boat World sells a certain boat and a certain trailer. What is the pri  [#permalink]

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New post 30 Jul 2018, 06:21
Bunuel wrote:
Boat World sells a certain boat and a certain trailer. What is the price of the trailer?


(1) The price of the boat is $7,500 more than the price of the trailer.
T = B + 7500
Multiple possible values
Insufficent

(2) The combined price of the boat and trailer is $15,000.
B + T = 15000
Multiple possible values
Insufficent

Combining both :
Tow equations, two variables (Solvable)
Sufficient

Hence, C.
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Re: Boat World sells a certain boat and a certain trailer. What is the pri  [#permalink]

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New post 30 Jul 2018, 06:40

Solution



Given:
    • Boat World sells a certain boat and a certain trailer

To find:
    • The price of the trailer

Analysing Statement 1
    • As per the information given in statement 1, the price of the boat is $7500 more than the price of the trailer
      o But, we don’t have any information about the price of the trailer
      o Therefore, we can’t find the exact price of the boat

Hence, statement 1 is not sufficient

Analysing Statement 2
    • As per the information given in statement 2, the combined price of the boat and the trailer is $15000
      o From the combined price, we cannot find the individual price of the boat and the trailer

Hence, statement 2 is not sufficient

Combining Both Statements
If we combine both the statements, we can say
    • Price of boat is $7500 more than the price of the trailer
    • The combined price of the boat and the trailer is $15000

Solving these, we can get the price of the trailer

Hence, the correct answer is option C.

Answer: C
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Re: Boat World sells a certain boat and a certain trailer. What is the pri  [#permalink]

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New post 30 Jul 2018, 08:03
1
Call the price of the boat = B
Call the price of the trailer = T

From condition 1: The price of the boat is $7,500 more than the price of the trailer ==> B = T+7500 ==> only condition 1, cannot know how much is B and how much is T
From condition 2: The combined price of the boat and trailer is $15,000 ==> B+T = 15000 ==> B = 15000 - T ==> only condition 2, cannot know how much is B and how much is T.

Combine condition 1 and condition 2 ==> 15000 - T = B = 7500 +T ==> 2T = 15000-7500 = 7500 ==> T = 3750 ==> B = 11250

==> Answer is C

Please hit kudo if it helps. Thanks.
Re: Boat World sells a certain boat and a certain trailer. What is the pri &nbs [#permalink] 30 Jul 2018, 08:03
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