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5. Christine went to a sale at a media store. She bought 8 videos and CDs for $92. If each video cost $16 and each CD cost
$10, how many of each did she buy?
a. Using v to represent the number of videos that Christine bought and c to represent the number of CDs that she
bought, set up a system of equations that models the information in the problem.
b. solve the system of equations and report how many of each product Christine bought.

Respuesta :

sqdancefan

Answer:

  • v+c=8; 16v+10c=92
  • v=2; c=6

Step-by-step explanation:

a) The system of equations can model two facts:

  v + c = 8 . . . . . the total number of videos and CDs is 8

  16v + 10c = 92 . . . . the total cost is $92

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b) The equations can be nicely solved by substitution. Using the first equation, we have ...

  c = 8 -v

Substituting this into the second equation gives* ...

  16v +10(8 -v) = 92

  6v +80 = 92 . . . . .eliminate parentheses, collect terms

  6v = 12 . . . . . . . . . subtract 80

  v = 2 . . . . . . . . . . . .divide by 6

  c = 8 -2 = 6

Christine bought 2 videos and 6 CDs.

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* If you weren't required to write a system of equations in two variables, you could actually start your solution with this equation.

cayleesmom02owjr4d

Answer: https://brainly.com/question/14710923?answeringSource=feedPersonal%2FquestionPage%2F2

Step-by-step explanation:

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