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Anna and Carol buy CDs and tapes at a music

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Manager
Manager
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Joined: 04 Aug 2013
Posts: 100
Location: India
Schools: McCombs '17
GMAT 1: 670 Q47 V35
GPA: 3
WE: Manufacturing and Production (Pharmaceuticals and Biotech)
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Anna and Carol buy CDs and tapes at a music  [#permalink]

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New post 11 Jul 2014, 06:37
1
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A
B
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D
E

Difficulty:

  35% (medium)

Question Stats:

74% (02:00) correct 26% (02:07) wrong based on 151 sessions

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Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $50.00 on four CDs and five tapes, how much does one tape cost?

A $5.00

B $6.25

C $12.00

D $25.00

E $100.00
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Joined: 24 Apr 2013
Posts: 16
Location: Russian Federation
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Re: Anna and Carol buy CDs and tapes at a music  [#permalink]

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New post 11 Jul 2014, 06:54
3
CD => C
Type => T

Carol: 4C+5T=50
Anna: 12C+5T=100

12C-4C=50
8C=50
C=6.25

4C+5T=50
25+5T=50
5T=25
T=5

Answer is A
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Re: Anna and Carol buy CDs and tapes at a music  [#permalink]

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New post 10 Apr 2017, 14:08
anceer wrote:
Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $50.00 on four CDs and five tapes, how much does one tape cost?

A $5.00

B $6.25

C $12.00

D $25.00

E $100.00


C=50=4x+5y
A=2C=100=8x+10y
12x+5y=100=8x+10y
4x=5y

plugin first equation:
10y=50
y=5

answer is A.
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Re: Anna and Carol buy CDs and tapes at a music  [#permalink]

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New post 14 Jul 2018, 10:20
anceer wrote:
Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $50.00 on four CDs and five tapes, how much does one tape cost?

A $5.00

B $6.25

C $12.00

D $25.00

E $100.00



Let c denote the price of one CD and t denote the price of one tape (both in dollars).

We can create the following equation for Carol’s expenditure:

4c + 5t = 50

We can create the following equation for Anna’s expenditure:

12c + 5t = 100

Subtracting the first equation from the second, we have:

8c = 50

c = 50/8 = 6.25

Thus:

4(6.25) + 5t = 50

5t = 25

t = 5

Answer: A
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Re: Anna and Carol buy CDs and tapes at a music &nbs [#permalink] 14 Jul 2018, 10:20
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