Systems of Equations Word Problems

Systems of Equations Word Problems
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  • Ballard High School
  • Mrs. WisemanAlgebra 2
  • Our School Fundraiser is to sell boxes of oranges.  We will have small boxes and large boxes.
  • I sold 5 small boxes and 6 large boxes.  I made $280!!
  • L = Cost of Large Box
  • How much did each small box and each large box cost?
  • I sold 11 small boxes and 11 large boxes.  I made $200!!
  • S = Cost of Small Box
  • 7S 2L $200
  • 5S 6L $280
  • Then 5 boxes would cost 5 x S or 5S.And 6 boxes would cost 6 x L or 6L.
  • Then the cost of 7 small boxes would cost 7S and 2 large boxes would cost 2L.
  • Now let's find L5($20) + 6L = $280$100 + 6L = $280
  •       5S + 6L = 280+   -21S - 6L = -600_____________________________     -16S        = -320
  • Here's our two equations:5S + 6L = 2807S + 2L = 200
  • Let's use elimination to solve this:5S + 6L = 280-3(7S + 2L = 200)
  • 6L = $280-$1006L = $180L = $30
  • S = -320 / -16S = $20
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