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# How many dimes are there in 4x - 1 cents?

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Math Expert
Joined: 02 Sep 2009
Posts: 58450
How many dimes are there in 4x - 1 cents?  [#permalink]

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01 Mar 2018, 23:07
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Difficulty:

(N/A)

Question Stats:

87% (00:42) correct 13% (00:53) wrong based on 46 sessions

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How many dimes are there in 4x - 1 cents? (1 dime = 10 cents)

(A) 40x - 10

(B) 2x/5 - 1/10

(C) 40x - 1

(D) 4x - 1

(E) 20x - 5

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Math Expert
Joined: 02 Sep 2009
Posts: 58450
Re: How many dimes are there in 4x - 1 cents?  [#permalink]

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01 Mar 2018, 23:07
Bunuel wrote:
How many dimes are there in 4x - 1 cents? (1 dime = 10 cents)

(A) 40x - 10

(B) 2x/5 - 1/10

(C) 40x - 1

(D) 4x - 1

(E) 20x - 5

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Re: How many dimes are there in 4x - 1 cents?  [#permalink]

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01 Mar 2018, 23:39
Bunuel wrote:
How many dimes are there in 4x - 1 cents? (1 dime = 10 cents)

(A) 40x - 10

(B) 2x/5 - 1/10

(C) 40x - 1

(D) 4x - 1

(E) 20x - 5

Since there are 4x - 1 cents and a dime is 10 cents,
there will be 4x - 1/10 or 2x/5 - 1/10 dimes in 4x - 1 cents (Option B)

Alternate approach: - Using numbers

Let x = 10, making the total amount in cents be 40-1 = 39
There are 3 dimes in the this.

Evaluating answer options at x = 10

(A) 40x - 10 = 400 - 10 = 390
(B) 2x/5 - 1/10 = 2*10/5 - 1/20 = 4 - 1/20 = 79/20 = 3.
(C) 40x - 1 = 400 -1 = 399
(D) 4x - 1 = 40 - 1 = 39
(E) 20x - 5 = 200 - 5 = 195

Therefore, Option B(2x/5 - 1/10) is the number of dimes in 4x - 1 cents.
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Re: How many dimes are there in 4x - 1 cents?   [#permalink] 01 Mar 2018, 23:39
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