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# If a stationery shop sells notebooks in A-4 size and A-5 size paper

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Math Expert
Joined: 02 Sep 2009
Posts: 60646
If a stationery shop sells notebooks in A-4 size and A-5 size paper  [#permalink]

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29 Oct 2018, 04:43
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Difficulty:

5% (low)

Question Stats:

94% (00:51) correct 6% (00:00) wrong based on 36 sessions

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If a stationery shop sells notebooks in A-4 size and A-5 size paper, what is the price of a A-5 size notebooks?

(1) The total price of one A-4 size and one A-5 size notebooks is $4. (2) The total price of three A-4 size and one A-5 size notebooks is$9

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Re: If a stationery shop sells notebooks in A-4 size and A-5 size paper  [#permalink]

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29 Oct 2018, 05:27
Bunuel wrote:
If a stationery shop sells notebooks in A-4 size and A-5 size paper, what is the price of a A-5 size notebooks?

(1) The total price of one A-4 size and one A-5 size notebooks is $4. (2) The total price of three A-4 size and one A-5 size notebooks is$9

We'll translate our statements into equations to make them easier to interpret.
This is a Precise approach.

(1) A4 + A5 = 4. This doesn't let us solve for A5.
Insufficient.

(2) 3A4 + A5 = 9. As abover, 1 equation with 2 variables - insufficient.
Insufficient.

Combined.
2 equations with 2 variables - sufficient!
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Re: If a stationery shop sells notebooks in A-4 size and A-5 size paper  [#permalink]

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29 Oct 2018, 05:31
From statement 1:

$$P_{A4} + P_{A5} = 4$$.
Two unknowns and one equation.
Insufficient.

From statement 2:

$$3P_{A4} + P_{A5} = 9$$.
Again, Two unknowns and one equation.
Insufficient.

Combining both.

Subtracting equation of S1 from S2.

$$2P_{A4} = 5$$

or $$P_{A4} = 2.5$$

Then $$P_{A5} = 1.5$$
Sufficient.

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Joined: 20 Sep 2018
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Re: If a stationery shop sells notebooks in A-4 size and A-5 size paper  [#permalink]

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29 Oct 2018, 16:23
Bunuel wrote:
If a stationery shop sells notebooks in A-4 size and A-5 size paper, what is the price of a A-5 size notebooks?

(1) The total price of one A-4 size and one A-5 size notebooks is $4. (2) The total price of three A-4 size and one A-5 size notebooks is$9

1. x+y=4. Insufficient.
2. 3x+y=9. Insufficient.
Together, it can be easily solved for x and y.
C.

Too easy to be true, Am I missing something?
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Re: If a stationery shop sells notebooks in A-4 size and A-5 size paper  [#permalink]

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29 Oct 2018, 16:45
Md231 I initially felt the same, but I don’t think you’re missing out on anything. The question seems to be straightforward.

Posted from my mobile device
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Joined: 08 Jul 2017
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Re: If a stationery shop sells notebooks in A-4 size and A-5 size paper  [#permalink]

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02 Nov 2018, 00:02
If a stationery shop sells notebooks in A-4 size and A-5 size paper, what is the price of a A-5 size notebooks?

(1) The total price of one A-4 size and one A-5 size notebooks is $4. (2) The total price of three A-4 size and one A-5 size notebooks is$9

Statement 1 and 2 each give an equation each in the two prices. Hence, each alone is insufficient. However, on combining, as the two equations are exclusive, they can be combined to get unique values of each price. No need to solve to save time.

C.
Re: If a stationery shop sells notebooks in A-4 size and A-5 size paper   [#permalink] 02 Nov 2018, 00:02
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