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# A deck of cards is 1.5 centimeters thick. If each of the cards is 0.0

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Math Expert
Joined: 02 Sep 2009
Posts: 51214
A deck of cards is 1.5 centimeters thick. If each of the cards is 0.0  [#permalink]

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19 Feb 2018, 21:47
00:00

Difficulty:

5% (low)

Question Stats:

90% (00:36) correct 10% (00:34) wrong based on 77 sessions

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A deck of cards is 1.5 centimeters thick. If each of the cards is 0.03 centimeters thick, how many cards are in the deck?

(A) 45

(B) 50

(C) 450

(D) 500

(E) 1500

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Senior Manager
Joined: 07 Jul 2012
Posts: 378
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: A deck of cards is 1.5 centimeters thick. If each of the cards is 0.0  [#permalink]

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19 Feb 2018, 21:59
No of cards= $$\frac{1.5}{0.03}$$= $$\frac{15}{10}$$*$$\frac{100}{3}$$ =50

Answer: B.
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Intern
Joined: 18 Jul 2017
Posts: 45
Re: A deck of cards is 1.5 centimeters thick. If each of the cards is 0.0  [#permalink]

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23 Feb 2018, 05:21
A deck of cards is 1.5 centimeters thick. If each of the cards is 0.03 centimeters thick, how many cards are in the deck?

(A) 45

(B) 50

(C) 450

(D) 500

(E) 1500

Multiply numerator and denominator by 100:
150/3 = 50

Answer is B

Kudos appreciated.
CEO
Joined: 11 Sep 2015
Posts: 3237
Location: Canada
Re: A deck of cards is 1.5 centimeters thick. If each of the cards is 0.0  [#permalink]

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23 Feb 2018, 09:03
1
Top Contributor
Bunuel wrote:
A deck of cards is 1.5 centimeters thick. If each of the cards is 0.03 centimeters thick, how many cards are in the deck?

(A) 45

(B) 50

(C) 450

(D) 500

(E) 1500

We need to determine the number of times 0.03 cm (the thickness of ONE card) divides into 1.5 cm (the thickness of the entire deck)
In other words, we must evaluate 1.5/0.03

IMPORTANT: Rather than perform long division with decimals (yuck!!), we can take 1.5/0.03 and create an equivalent fraction

Take 1.5/0.03 and multiply numerator and denominator by 100 to get: 150/3
At this point, it's easy to see that 150/3 evaluates to 500

So, 1.5/0.03 = 150/3 = 50

Answer: B

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Re: A deck of cards is 1.5 centimeters thick. If each of the cards is 0.0 &nbs [#permalink] 23 Feb 2018, 09:03
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# A deck of cards is 1.5 centimeters thick. If each of the cards is 0.0

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