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# If the product of 4, 5, and q is equal to the product of 5, p, and 2

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Math Expert
Joined: 02 Sep 2009
Posts: 64237
If the product of 4, 5, and q is equal to the product of 5, p, and 2  [#permalink]

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14 Jan 2019, 02:06
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00:00

Difficulty:

5% (low)

Question Stats:

86% (00:44) correct 14% (00:58) wrong based on 71 sessions

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If the product of 4, 5, and q is equal to the product of 5, p, and 2, and pq ≠ 0, what is the value of the quotient p/q ?

A. 5/2
B. 2
C. 1/2
D. 2/5
E. 1/10

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Re: If the product of 4, 5, and q is equal to the product of 5, p, and 2  [#permalink]

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14 Jan 2019, 03:10
4*5*q = 5*p*2

20q = 10p

$$\frac{p}{q}$$ = 2

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Re: If the product of 4, 5, and q is equal to the product of 5, p, and 2  [#permalink]

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14 Jan 2019, 03:12
Bunuel wrote:
If the product of 4, 5, and q is equal to the product of 5, p, and 2, and pq ≠ 0, what is the value of the quotient p/q ?

A. 5/2
B. 2
C. 1/2
D. 2/5
E. 1/10

4*5*q= 5*p*2
p/q = 2
IMO B
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Re: If the product of 4, 5, and q is equal to the product of 5, p, and 2  [#permalink]

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21 Mar 2020, 09:23
Bunuel wrote:
If the product of 4, 5, and q is equal to the product of 5, p, and 2, and pq ≠ 0, what is the value of the quotient p/q ?

A. 5/2
B. 2
C. 1/2
D. 2/5
E. 1/10

Hello Bunuel!

what if we put products directly into quotient p/q, and then simplify to get p/q
please explain why this is wrong?

Attachment:

11.PNG [ 7.15 KiB | Viewed 290 times ]

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Re: If the product of 4, 5, and q is equal to the product of 5, p, and 2   [#permalink] 21 Mar 2020, 09:23

# If the product of 4, 5, and q is equal to the product of 5, p, and 2

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