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Sub 505 (Easy)|   Algebra|      
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Bunuel
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r = 6s and s = 3t and 2t = p. If p ≠ 0, what is the value of p/r for 03 Jul 2020, 05:40
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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5% (low)

Question Stats:

89% (01:03) correct 11% (00:55) wrong based on 61 sessions

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\(r=6s\) and \(s=3t\) and \(2t=p\)

If \(p \neq 0\), what is the value of \(\frac{p}{r}\) for the system of equations above ?


(A) 1/9
(B) 1/3
(C) 1
(D) 3
(E) 9
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A
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r = 6s and s = 3t and 2t = p. If p ≠ 0, what is the value of p/r for 03 Jul 2020, 05:45
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Bunuel
\(r=6s\) and \(s=3t\) and \(2t=p\)

If \(p \neq 0\), what is the value of \(\frac{p}{r}\) for the system of equations above ?


(A) 1/9
(B) 1/3
(C) 1
(D) 3
(E) 9
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\(r = 6s = 6*3t = 18t = 18*\frac{p}{2} = 9p\)
\(\frac{p}{r}\) = \(\frac{p}{9p}\) = \(\frac{1}{9}\)

Hence, OA is (A).
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Schools: IIM (A) ISB '24
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r = 6s and s = 3t and 2t = p. If p ≠ 0, what is the value of p/r for 03 Jul 2020, 05:46
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Bunuel
\(r=6s\) and \(s=3t\) and \(2t=p\)

If \(p \neq 0\), what is the value of \(\frac{p}{r}\) for the system of equations above ?


(A) 1/9
(B) 1/3
(C) 1
(D) 3
(E) 9
Show more

\(r=6s\) and \(s=3t\) and \(2t=p\)

Let, t = 1, then
s = 3, r = 18 and p = 2

ie.. p/r = 2/18 = 1/9

Answer: Option A
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r = 6s and s = 3t and 2t = p. If p ≠ 0, what is the value of p/r for 03 Jul 2020, 05:53
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Explanation:

s=3t ; t=p/2
r=6s =18t = 18xp/2 = 9p
p/r=p/9p
= 1/9

IMO-A
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r = 6s and s = 3t and 2t = p. If p ≠ 0, what is the value of p/r for 03 Jul 2020, 06:19
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Bunuel
\(r=6s\) and \(s=3t\) and \(2t=p\)

If \(p \neq 0\), what is the value of \(\frac{p}{r}\) for the system of equations above ?


(A) 1/9
(B) 1/3
(C) 1
(D) 3
(E) 9
Show more

Find some values that satisfy the given equations.

Start with \(s=3t\) and \(2t=p\)
If \(t=1\), then \(s=3\) and \(p=2\)

Now we can deal with \(r=6s\)
Since \(s=3\), we know that \(r=18\)

Since the values \(t=1\), \(s=3\), \(p=2\) and \(r=18\) satisfy all of the given equations, we can now answer the question...

\(\frac{p}{r}=\frac{2}{18}=\frac{1}{9}\)

Answer: A

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Brent
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r = 6s and s = 3t and 2t = p. If p ≠ 0, what is the value of p/r for 03 Jul 2020, 08:13
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\(r=6s\) and \(s=3t\) and \(2t=p\)

If \(p \neq 0\), what is the value of \(\frac{p}{r}\) for the system of equations above ?


(A) 1/9 --> correct: r=6s = 6*3t, because s=3t, => r=6s = 6*3t = 6*3*(p/2) because 2t=p i.e. t =p/2, so => r=6s = 6*3t = 6*3*(p/2)=3*3p=9p => p/r=1/9
(B) 1/3
(C) 1
(D) 3
(E) 9
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r = 6s and s = 3t and 2t = p. If p ≠ 0, what is the value of p/r for 03 Jul 2020, 09:45
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P/R=?

R=6S
R/6=S

S=3T
(We will use S=R/6 in the above equation)
R/6=3T
R/18=T

2T=P
(We will use T=R/18 in the above equation)
2*R/18=P
R/9=P
P/R=1/9

Therefore answer is A 1/9
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