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Solving A System of Equations PowerPoint PPT Presentation

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

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

• (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.