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Bunuel
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The price per pair of brand X socks is $2 and the price per pair of br 27 Jun 2018, 21:38
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D
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Question Stats:

80% (01:09) correct 20% (01:51) wrong based on 106 sessions

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The price per pair of brand X socks is $2 and the price per pair of brand Y socks is $3. If there is no sales tax and a customer chooses only from among these two brands, what is the greatest number of pairs of socks that he can buy with exactly $25?

(A) 9
(B) 10
(C) 11
(D) 12
(E) 20
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D
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The price per pair of brand X socks is $2 and the price per pair of br 27 Jun 2018, 23:59
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Solution



Given:
    • The price per pair of brand X socks is $2
    • The price per pair of brand Y socks is $3
    • There is no sales tax
    • A customer chooses only from among these two brands

To find:
    • The greatest number of pairs of socks that the customer can buy with exactly $25

Approach and Working:
As we are trying to maximise the total number of items, we should try to allocate maximum possible pairs of brand X socks, as it is cheaper than brand Y

    • From $25, one can buy 12 pairs of X, but will be left with $1 unused

If 1 pair of X is reduced and 1 pair of Y is added, then
    • The total cost = 11 * 2 + 1 * 3 = 22 + 3 = $25
    • Therefore, the maximum number of pairs = 11 + 1 = 12

Hence, the correct answer is option D.

Answer: D
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The price per pair of brand X socks is $2 and the price per pair of br 01 Jul 2018, 00:19
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x2+y3=25

tryin different values we get max in case of x=11 , y = 1
so 12 pairs
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The price per pair of brand X socks is $2 and the price per pair of br 01 Jul 2018, 08:16
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Bunuel
The price per pair of brand X socks is $2 and the price per pair of brand Y socks is $3. If there is no sales tax and a customer chooses only from among these two brands, what is the greatest number of pairs of socks that he can buy with exactly $25?

(A) 9
(B) 10
(C) 11
(D) 12
(E) 20
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Let the number of brand X socks be x and number of brand Y socks be y
From the question stem, we have the following equation : 2x + 3y = 25 -> (1)

If Option E(20) is the greatest pair of socks he can buy, x + y = 20
This can be re-written as y = 20 - x. Using this in equation (1), 2x + 3(20 - x) = 25 -> x = 35(Not possible)

If Option E(12) is the greatest pair of socks he can buy, x + y = 12 -
This can be re-written as y = 12 - x. Using this in equation (1), 2x + 3(12 - x) = 25 -> x = 11(Possible)

Therefore, 12(Option D) is the greatest number of pairs of socks that he can buy with exactly $25.
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The price per pair of brand X socks is $2 and the price per pair of br 02 Jul 2018, 09:47
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Bunuel
The price per pair of brand X socks is $2 and the price per pair of brand Y socks is $3. If there is no sales tax and a customer chooses only from among these two brands, what is the greatest number of pairs of socks that he can buy with exactly $25?

(A) 9
(B) 10
(C) 11
(D) 12
(E) 20
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The greatest number of pairs can be purchased at the cheaper price. Since 25/2 = 12 remainder 1, the greatest number of pairs that can be purchased is 12. Or he can buy 11 pairs of the brand X socks and 1 pair of brand Y socks, which also result in a total of 12 pair of socks.

Note that the problem doesn’t specify that all $25 must be spent, so either approach to the solution is correct.

Answer: D
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The price per pair of brand X socks is $2 and the price per pair of br 02 Jul 2018, 12:01
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Bunuel
The price per pair of brand X socks is $2 and the price per pair of brand Y socks is $3. If there is no sales tax and a customer chooses only from among these two brands, what is the greatest number of pairs of socks that he can buy with exactly $25?

(A) 9
(B) 10
(C) 11
(D) 12
(E) 20
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This is a question of Maximization and minimization...

So, The maximum no of X socks that can be bought is 25/2 = 12 and no y socks.

Further if she buys 11 X socks she can buy 1 y sock, hence, she can buy 12 socks, answer must be (D)
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The price per pair of brand X socks is $2 and the price per pair of br 02 Jun 2025, 11:35
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

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