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What is the number of positive integral solutions for the eq
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31 Jan 2022, 09:01
31 Jan 2022, 09:01
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Question Stats:
60% (00:57) correct
40% (01:54) wrong based on 5 sessions
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What is the number of positive integral solutions for the equation \(\frac{x}{7}+\frac{w}{28}=1\)?
A. 2
B. 6
C. 10
D. 12
E. Infinite
Posted from my mobile device
A. 2
B. 6
C. 10
D. 12
E. Infinite
Posted from my mobile device
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Joined: 10 Apr 2015
Posts: 6218
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What is the number of positive integral solutions for the eq
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02 Feb 2022, 07:29
02 Feb 2022, 07:29
1
Sumukh19 wrote:
What is the number of positive integral solutions for the equation \(\frac{x}{7}+\frac{w}{28}=1\)?
A. 2
B. 6
C. 10
D. 12
E. Infinite
Posted from my mobile device
A. 2
B. 6
C. 10
D. 12
E. Infinite
Posted from my mobile device
Given: \(\frac{x}{7}+\frac{w}{28}=1\)
Multiply both sides of the equation by \(28\) to get: \(4x+w=28\)
Since \(x\) and \(w\) must be positive integers, let's start listing the possible solutions...
\(x = 1\) and \(w = 24\)
\(x = 2\) and \(w = 20\)
\(x = 3\) and \(w = 16\)
\(x = 4\) and \(w = 12\)
\(x = 5\) and \(w = 8\)
\(x = 6\) and \(w = 4\)
\(x = 7\) and \(w = 0\) doesn't work because w is not positive in this case
There are 6 solutions in which x and w are positive integers.
Answer: B
gmatclubot
What is the number of positive integral solutions for the eq [#permalink]
02 Feb 2022, 07:29
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