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Solving A System of Equations

Jazmine Molina Carlos Velasquez 12/18/13 2~3A. Solving A System of Equations. Problem Situation.

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Solving A System of Equations

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  1. JazmineMolina Carlos Velasquez 12/18/13 2~3A Solving A System of Equations

  2. Problem Situation • To raise funds, the bands sells two sizes of the cookie dough, one for 6$ and another for $10. If 205 containers of cookie dough were sold with cash receipts of $1710, how many of each size of cookie dough was sold?

  3. Define Variables J = Number of Small Cookie Dough container C = The Number of Large Cookie Dough container

  4. System of Equations • J + C = 205 • 6J + 10C = 1710

  5. Solution Method • Guess And Check: 6*99+10*115=1744 6*9910*112=1714 6*99+10*111.8=1712 6*99+10*111.6=1710

  6. Steps of Solution • Although 99 and 111.5 work, they do not add up to 205. • 99 + 111.5 = 210.5

  7. Solution to the System of Equations • (C, J) • (120, 85)

  8. Check of Solution • 85 + 120 = 205 ☺ • 6(85) + 10(120) = 1710 ☺

  9. Solution in the Problem Situation The Number of Small Cookie Dough containers sold is 85. The Number of Large Cookie Dough containers sold is 120.

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