GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
p is 75% of q and p equals 2r.
[#permalink]
10 Jun 2018, 04:44
10 Jun 2018, 04:44
Expert Reply
1
Bookmarks
00:00
Question Stats:
85% (00:47) correct
14% (01:12) wrong based on 150 sessions
Hide Show timer Statistics
p is 75% of q and p equals 2r.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
0.375q |
r |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: p is 75% of q and p equals 2r.
[#permalink]
16 Jun 2018, 15:45
16 Jun 2018, 15:45
1
p is 75% of q
\(p=.75q\)
p equals 2r
\(p=2r\)
Quantity A: \(0.375q\)
Quantity B: \(r\)
I manipulated the equation to make \(r=\frac{p}{2}\)
From here, we can substitute \(\frac{p}{2}\) for r as Quantity B.
Quantity A: \(0.375q\)
Quantity B: \(\frac{p}{2}\)
Multiply both sides by 2.
Quantity A: \(0.75q\)
Quantity B: \(p\)
We see that the first equation given to us matches what we have in Quantity A and B.
Quantity A is equivalent to Quantity B.
The answer is C.
\(p=.75q\)
p equals 2r
\(p=2r\)
Quantity A: \(0.375q\)
Quantity B: \(r\)
I manipulated the equation to make \(r=\frac{p}{2}\)
From here, we can substitute \(\frac{p}{2}\) for r as Quantity B.
Quantity A: \(0.375q\)
Quantity B: \(\frac{p}{2}\)
Multiply both sides by 2.
Quantity A: \(0.75q\)
Quantity B: \(p\)
We see that the first equation given to us matches what we have in Quantity A and B.
Quantity A is equivalent to Quantity B.
The answer is C.
Re: p is 75% of q and p equals 2r.
[#permalink]
11 Jul 2018, 15:53
11 Jul 2018, 15:53
1
Expert Reply
Explanation
Write an equation from the first part of the given information: p = 0.75q. Since p = 2r, substitute 2r for p in the first equation:
\(2r = 0.75q\)
\(r = 0.375q\)
The two quantities are equal.
Alternatively, use smart numbers. If q is 8, then p is (8)(0.75) = 6. (Note: because you have to multiply q by 0.75, or , try to pick something divisible by 4 for q, so that p will be an integer.)
Therefore, r is = 3.
Since 0.375q = (0.375)(8) = 3, the value for r is also 3. The two quantities are equal.
Write an equation from the first part of the given information: p = 0.75q. Since p = 2r, substitute 2r for p in the first equation:
\(2r = 0.75q\)
\(r = 0.375q\)
The two quantities are equal.
Alternatively, use smart numbers. If q is 8, then p is (8)(0.75) = 6. (Note: because you have to multiply q by 0.75, or , try to pick something divisible by 4 for q, so that p will be an integer.)
Therefore, r is = 3.
Since 0.375q = (0.375)(8) = 3, the value for r is also 3. The two quantities are equal.
