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27 Jun 2018, 21:38
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:05) correct
19%
(01:52)
wrong
based on 96
sessions
History
Date
Time
Result
Not Attempted Yet
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
(A) 9
(B) 10
(C) 11
(D) 12
(E) 20
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
