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# Material A costs $3 per kilogram, and material B costs$5

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Material A costs $3 per kilogram, and material B costs$5 [#permalink]

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02 Sep 2004, 15:34
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Material A costs $3 per kilogram, and material B costs$5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y?
(1) y > 4
(2) The cost of the 10 kilograms of material K is less than $40. Manager Joined: 27 Aug 2004 Posts: 125 Location: US Followers: 2 Kudos [?]: 3 [0], given: 0 ### Show Tags 02 Sep 2004, 17:30 A From the question x+y = 10 A = 3 and B=5 1 - y>4 does say x can be <=5 sufficient 2- xA + yB <= 40 x can be 4,6,7 or 5 - sometimes it is greater than y and sometimes its not. insufficient Intern Joined: 12 Aug 2004 Posts: 33 Followers: 0 Kudos [?]: 0 [0], given: 0 I think you are wrong [#permalink] ### Show Tags 02 Sep 2004, 21:53 o.k. we only know that there is a total of ten kilo's And A cost 3$ a key and B cost 5$a key From 1 we at best can conclude that A=5 and B =5, or A = 5.9 and B = 4.1, or A= 4.1 and B =5.9 so this tell us absolutely nothing- Insufficient From 2 we know that the total was less that 40$, the only way B could be greater than a would be for B = 5.1 and A = 4.9
5.1 * $5 =$26
4.9 * $3 =$14.7
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$40.70 --- we got an answer!!!!!!!!! IT'S B ( I might be wrong but I think I'm right) Director Joined: 20 Jul 2004 Posts: 593 Followers: 2 Kudos [?]: 125 [0], given: 0 ### Show Tags 02 Sep 2004, 22:59 I - does not give any detail; x/y can be a combination of 5/5, 4.5/5.5 or 5.5/4.5. Insufficient. II - if x and y are equal in quantity, the total price will$40. Since the total price is less than 40, the cheaper materian quantity (x) should be greater. Sufficient.

B.
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03 Sep 2004, 04:33
Yep I have B too.

With statement 2 I took half of each and with that you can see that it is exactly $40. The cheaper material will be therefore of more quantity than the more expensive material. Regards, Alex Intern Joined: 10 Aug 2004 Posts: 40 Followers: 0 Kudos [?]: 1 [0], given: 0 ### Show Tags 03 Sep 2004, 07:19 B...If X is 5 and y is 5 the total cost is$40. Therefore for the total price to be under $40 we need to have more X than Y. Statement one does not provide enough information. 03 Sep 2004, 07:19 Display posts from previous: Sort by # Material A costs$3 per kilogram, and material B costs \$5

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