Kasandrasantana1234 Kasandrasantana1234
  • 23-11-2016
  • Advanced Placement (AP)
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A DVD costs twice as much as a music CD. Jack buys 2 DVDs and 2 CDs and spends $45. Determine how much one CD costs, in dollars. [Only an alegbraic solution can receive full credit]

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bartdrinksmalk
bartdrinksmalk bartdrinksmalk
  • 23-11-2016
Let [tex]d=[/tex] the cost of a DVD
Let [tex]c=[/tex] the cost of a CD

We have
[tex]d=2c[/tex]
and
[tex]2d+2c=45[/tex]

We can replace [tex]d[/tex] with [tex]2c[/tex] in the second equation and get
[tex]2(2c)+2c=45[/tex]
[tex]\rightarrow 4c+2c=45[/tex]
[tex]\rightarrow 6c=45[/tex]
[tex]\rightarrow c=7.5\rightarrow\$7.50[/tex]
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