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# Last month a certain music club offered a discount to

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Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 01:19
8
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15
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Difficulty:

45% (medium)

Question Stats:

63% (02:04) correct 37% (01:09) wrong based on 1483 sessions

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Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid $3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid$15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

(A) 5(4.00) + 15.90
(B) 5(4.00) + 15.95
(C) 5(4.00) + 16.00
(D) 5(4.00 - 0.01) + 15.90
(E) 5(4.00 - 0.05) + 15.95

Diagnostic Test
Question: 1
Page: 20
Difficulty: 600
[Reveal] Spoiler: OA

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Re: Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 01:21
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SOLUTION

Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid $3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid$15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

(A) 5(4.00) + 15.90
(B) 5(4.00) + 15.95
(C) 5(4.00) + 16.00
(D) 5(4.00 - 0.01) + 15.90
(E) 5(4.00 - 0.05) + 15.95

The cost of 6 compact discs would be $15.95 for the first compact disc plus$3.99 for each of the other 5 discs, so it's $$15.95+5*3.99$$.

We can see that no answer choice matches this value. So, we should manipulate with that expression to get the answer which is listed.

$$15.95+5*3.99=15.95+5*(4-0.01)=15.95+5*4-0.05=5*4+15.90$$.

Difficulty level changed to 600.
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Re: Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 19:42
1
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The first disc is for $15.95 and the 5 subsequent ones for$3.99 each.

Total = 15.95 + 5(3.99)
= 15.95 + 5(4.00-0.01)
= 15.95 + 5(4.00)-0.05
= 15.90 + 5(4.00)

Difficulty level is 600.
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Re: Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 21:41
Hi,

Difficulty level: 600, answer is straight forward, but a little manipulation is required to reach to the answer.

Regards,
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Re: Last month a certain music club offered a discount to [#permalink]

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16 Jun 2012, 02:20
Difficulty level 600+. Minor manipulations required. However, very close answer choices might force to mark wrong answer under pressure.

I solved as given below;

3.99*5=19.95+15.95= 35.90 and then just checked the answers matching the total.
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Re: Last month a certain music club offered a discount to [#permalink]

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16 Jun 2012, 14:13
1
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Difficulty-level of this question should be at sub-600 level.
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Re: Last month a certain music club offered a discount to [#permalink]

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17 Jun 2012, 02:29
Its not A.. its E..

(4-.01) that will be is equal to the 3.99 *5+(15.95)..

i dont think so dificulty level wud be 650.. it wub be 550 or 600..
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Re: Last month a certain music club offered a discount to [#permalink]

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17 Jun 2012, 02:33
OHH m wrong .. its A.. i thought in E its .01 but its .05..

Its A..
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Kudos [?]: 93078 [0], given: 10542

Re: Last month a certain music club offered a discount to [#permalink]

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22 Jun 2012, 01:18
SOLUTION

Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid $3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid$15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

(A) 5(4.00) + 15.90
(B) 5(4.00) + 15.95
(C) 5(4.00) + 16.00
(D) 5(4.00 - 0.01) + 15.90
(E) 5(4.00 - 0.05) + 15.95

The cost of 6 compact discs would be $15.95 for the first compact disc plus$3.99 for each of the other 5 discs, so it's $$15.95+5*3.99$$.

We can see that no answer choice matches this value. So, we should manipulate with that expression to get the answer which is listed.

$$15.95+5*3.99=15.95+5*(4-0.01)=15.95+5*4-0.05=5*4+15.90$$.

Difficulty level changed to 600.
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Re: Last month a certain music club offered a discount to [#permalink]

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30 Oct 2013, 23:40
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Re: Last month a certain music club offered a discount to [#permalink]

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07 Dec 2014, 10:34
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Re: Last month a certain music club offered a discount to [#permalink]

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15 Dec 2015, 07:57
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Re: Last month a certain music club offered a discount to [#permalink]

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11 Jan 2017, 23:03
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Re: Last month a certain music club offered a discount to [#permalink]

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13 Jan 2017, 12:36
1st : 15.95\$
Remaining 5 discs : 5 x 3.99
15.95 + 5 x 3.99
15.95 + 5(4 - 0.01)
15.95 + 5x4 - 0.05
15.90 + 5(4)
A
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Re: Last month a certain music club offered a discount to   [#permalink] 13 Jan 2017, 12:36
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