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antontse99 antontse99
  • 16-06-2015
  • Mathematics
Answered

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

Verified Answer :

natalie1207 natalie1207
  • 17-06-2015

v=2c, and 2v + 2c =45
you can substitute v for 2c in the second equation because they equal to get
4c +2c =45
6c =45

c = 45/6, so the answer is $7.50

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iloveonedirection
iloveonedirection iloveonedirection
  • 17-06-2015

\(dvd=d \\ cd=c \\ \\ \left \{ {{d=2c} \atop {2d+2c=45}} \right. \\ \\ 2(2c)+2c=45 \\ 4c+2c=45 \\ 6c=45 \\ c=7.5 \\ \\ d=2(7.5) \\ d=15\)

One CD costs $7.50.
One DVD costs $15.00.

Answer Link

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