If the average of p and 4p is 10, then p =
(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
The OA is C.
What equation should I set here? Is this: $$\frac{p+4p}{2p}=10\ ??$$ Help. <i class="em em-confused"></i>
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If the average of p and 4p is 10, then p
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SUM/COUNT = AVERAGEVJesus12 wrote:If the average of p and 4p is 10, then p =
(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
In the problem above:
Sum = p + 4p.
Count = 2.
Average = 10.
Plugging these values into the equation in blue, we get:
(4p + p)/2 = 10
5p = 20
p = 4.
The correct answer is C.
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Hi VJesus12,
We're told that the average of P and 4P is 10. We're asked for the value of P. You can solve this problem in a couple of different ways, including by TESTing the ANSWERS. Let's start by TESTing Answer B:
Answer B: 3
IF....P=3 and 4P = 12, then the average of 3 and 12 is (3+12)/2 = 15/2 = 7.5
This is TOO SMALL (it's supposed to be 10
Let's TEST Answer D next...
IF....P=10 and 4P = 40, then the average of 10 and 40 is clearly BIGGER than 10.
This is TOO BIG (it's supposed to be 10.
There's only one Answer that makes sense...
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
We're told that the average of P and 4P is 10. We're asked for the value of P. You can solve this problem in a couple of different ways, including by TESTing the ANSWERS. Let's start by TESTing Answer B:
Answer B: 3
IF....P=3 and 4P = 12, then the average of 3 and 12 is (3+12)/2 = 15/2 = 7.5
This is TOO SMALL (it's supposed to be 10
Let's TEST Answer D next...
IF....P=10 and 4P = 40, then the average of 10 and 40 is clearly BIGGER than 10.
This is TOO BIG (it's supposed to be 10.
There's only one Answer that makes sense...
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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Jeff@TargetTestPrep
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We can create the equation:VJesus12 wrote:If the average of p and 4p is 10, then p =
(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
(p + 4p)/2 = 10
5p = 20
p = 4
Answer: C
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