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p is 75% of q and p equals 2r.
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10 Jun 2018, 04:44
10 Jun 2018, 04:44
Expert Reply
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Question Stats:
85% (00:47) correct
14% (01:12) wrong based on 150 sessions
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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.
