swerve wrote:If Company \(M\) ordered a total of 50 computers and printers and Company \(N\) ordered a total of 60 computers and printers, how many printers did Company \(M\) order?
1) Company \(M\) and Company \(N\) ordered the same number of computers.
2) Company \(N\) ordered 10 more printers than Company \(M\).
The OA is E
Source: GMAT Prep
Say Company \(M\) ordered a computers and b printers and Company \(N\) ordered x computers and y printers. Thus, we have
a + b = 50 and x + y = 60
We have to get the value of b.
Let's take each statement one by one.
1) Company \(M\) and Company \(N\) ordered the same number of computers.
a = x. However, we can't get the value of b. Insufficient.
2) Company \(N\) ordered 10 more printers than Company \(M\).
y = b + 10. However, we can't get the value of b. Insufficient.
(1) and (2) together
Plugging-in a = x and y = b + 10 in x + y = 60, we get a + b + 10 = 60 => a + b = 50. We in turn get the same equation that we already have. No unique value of b is possible. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
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