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Your school is having a book fair! books cost $5. 50 and magazines cost $3. Genesis bought a total of 7 items and spent a total of $28. 50 at the fair. How many books and how many magazines did she buy?

Respuesta :

linandrew41

Let us set up some variables:

  b: # of books

  m: # of magazines

Let us set up some equations based on the known facts:

  • Genesis bought a total of seven books --> b + m = 7
  • Genesis spent a total of $28.50 --> 5.5b + 3m = 28.5

Equations:

  • b + m = 7 -- equation 1
  • 5.5b + 3m = 28.5 -- equation 2

Start Solving:

   (Equation 1) * 3

    3b + 3m = 21 -- equation 3

   (Equation 2) - (Equation 3)

    2.5b = 7.5

    b = 3 -- equation 4

   (Equation 4) plug into (Equation 1)

  3 + m = 7

   m = 4

Solutions: Genesis bought 3 books and 4 magazines

Hope that helps!

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