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word problem

by sud21 » Wed Jan 25, 2012 7:29 pm
A guy sent an order of sofas and loveseats, if the total cost was $3800, how many sofas did he buy?
1) One sofa costs $800 and one loveseat costs $300.
2) There was more than one sofa in the order.
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Source: — Data Sufficiency |

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by Anurag@Gurome » Wed Jan 25, 2012 9:03 pm
sud21 wrote:A guy sent an order of sofas and loveseats, if the total cost was $3800, how many sofas did he buy?
1) One sofa costs $800 and one loveseat costs $300.
2) There was more than one sofa in the order.
Let assume he bought x sofas and y loveseats.

Statement 1: 800x + 300y = 3800 --> 8x + 3y = 38
As x and y must be integer, either (x = 1 and y = 10) or (x = 4 and y = 2)

Not sufficient

Statement 2: We don't know the cost of sofas or loveseats.

Not sufficient

1 & 2 together: x > 1
Hence, x = 4 and y = 2

Sufficient

The correct answer is C.
Last edited by Anurag@Gurome on Fri Jan 27, 2012 11:15 pm, edited 1 time in total.
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by kprabhala.mba » Fri Jan 27, 2012 11:12 pm
x = 2 and y = 4 is not a solution to 8x + 3y = 38.

Hence when statements 1 & 2 are taken together, there is only
one solution: x = 4 and y = 2.

Sufficient.

The correct answer should be C.
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by Anurag@Gurome » Fri Jan 27, 2012 11:16 pm
kprabhala.mba wrote:x = 2 and y = 4 is not a solution to 8x + 3y = 38
Thanks for pointing it out.
Edited the reply.
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