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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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JazmineMolina

Carlos Velasquez

12/18/13

2~3A

Solving A System of Equations


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?


Define Variables

J = Number of Small Cookie Dough container

C = The Number of Large Cookie Dough container


System of Equations

  • J + C = 205

  • 6J + 10C = 1710


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


Steps of Solution

  • Although 99 and 111.5 work, they do not add up to 205.

  • 99 + 111.5 = 210.5


Solution to the System of Equations

  • (C, J)

  • (120, 85)


Check of Solution

  • 85 + 120 = 205 ☺

  • 6(85) + 10(120) = 1710 ☺


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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