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avohden
Joined: 09 Jul 2013
Last visit: 14 Mar 2015
Posts: 405
Given Kudos: 630
Status:1,750 Q's attempted and counting
Affiliations: University of Florida
Location: United States (FL)
Schools: Warrington (A)
GMAT 1: 570 Q42 V28
GMAT 2: 610 Q44 V30
GMAT 3: 600 Q45 V29
GMAT 4: 590 Q35 V35
GPA: 3.45
WE:Accounting (Accounting)
C
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At a furniture store, each chair sells for the same price and each desk sells for the same price. What is the total price for 2 chairs and 5 desks at the store?
(1) At the store the total price for 1 chair and 1 desk is $160.
(2) At the store the total price for 5 chairs and 2 desks is $440.
SOURCE: GH 09.18.13
(1) At the store the total price for 1 chair and 1 desk is $160.
(2) At the store the total price for 5 chairs and 2 desks is $440.
SOURCE: GH 09.18.13
02 Oct 2013, 10:26
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At a furniture store, each chair sells for the same price and each desk sells for the same price. What is the total price for 2 chairs and 5 desks at the store?
2c + 5d = ?
(1) At the store the total price for 1 chair and 1 desk is $160 --> c + d =160. Not sufficient.
(2) At the store the total price for 5 chairs and 2 desks is $440 --> 5c + 2d =440. Not sufficient.
(1)+(2) We have two distinct linear equations (c + d =160 and 5c + 2d =440) with two unknowns thus we can solve and get the value of 2c + 5d. Sufficient.
Answer: C.
2c + 5d = ?
(1) At the store the total price for 1 chair and 1 desk is $160 --> c + d =160. Not sufficient.
(2) At the store the total price for 5 chairs and 2 desks is $440 --> 5c + 2d =440. Not sufficient.
(1)+(2) We have two distinct linear equations (c + d =160 and 5c + 2d =440) with two unknowns thus we can solve and get the value of 2c + 5d. Sufficient.
Answer: C.
avohden
Joined: 09 Jul 2013
Last visit: 14 Mar 2015
Posts: 405
Own Kudos:
Given Kudos: 630
Status:1,750 Q's attempted and counting
Affiliations: University of Florida
Location: United States (FL)
Schools: Warrington (A)
GMAT 1: 570 Q42 V28
GMAT 2: 610 Q44 V30
GMAT 3: 600 Q45 V29
GMAT 4: 590 Q35 V35
GPA: 3.45
WE:Accounting (Accounting)
02 Oct 2013, 15:54
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Official Explanation
Answer: C - The question is looking for the value of 2c + 5d. Generally, to solve for two variables, we'll need two equations. Statements (1) and (2) are both insufficient. They give us one equation each. Neither one can be converted into a value for 2c + 5d, so independently, they do not provide a solution.
Taken together, the statements are sufficient. Given the two equations: c + d = 160, and 5c + 2d = 440, we can solve for c and d, and then find the value of 2c + 5d. Choice (C) is correct.
Answer: C - The question is looking for the value of 2c + 5d. Generally, to solve for two variables, we'll need two equations. Statements (1) and (2) are both insufficient. They give us one equation each. Neither one can be converted into a value for 2c + 5d, so independently, they do not provide a solution.
Taken together, the statements are sufficient. Given the two equations: c + d = 160, and 5c + 2d = 440, we can solve for c and d, and then find the value of 2c + 5d. Choice (C) is correct.
