# 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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