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If the average of p and 4p is 10, then p

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by VJesus12 » Wed Apr 18, 2018 2:36 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

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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by GMATGuruNY » Wed Apr 18, 2018 3:02 am
VJesus12 wrote:If the average of p and 4p is 10, then p =

(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
SUM/COUNT = AVERAGE

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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by [email protected] » Wed Apr 18, 2018 7:50 pm
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

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by Jeff@TargetTestPrep » Thu Apr 19, 2018 5:02 pm
VJesus12 wrote:If the average of p and 4p is 10, then p =

(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
We can create the equation:

(p + 4p)/2 = 10

5p = 20

p = 4

Answer: C

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