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» The ratio of boys to girls in a twelth-grade class at a high school is about 3 to 2. There are about 600 twelfth-graders. How many are boys? How many.

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Presentation on theme: "» The ratio of boys to girls in a twelth-grade class at a high school is about 3 to 2. There are about 600 twelfth-graders. How many are boys? How many."— Presentation transcript:

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2 » The ratio of boys to girls in a twelth-grade class at a high school is about 3 to 2. There are about 600 twelfth-graders. How many are boys? How many are girls?

3 » Use a system of linear equations to solve the problem. » Define ˃b=the number of boys ˃g=the number of girls » Relate ˃The total number of twelfth-graders is 600. ˃b + g = 600

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5 Solve for b. Use the first equation. Substitute for b. Combine like terms. Solve for g.

6 Substitute 240 for g. Multiply both sides by 240. There are about 360 twelfth- grade boys and 240 twelfth- grade girls.

7 » Suppose a paper manufacturer publishes a newsletter. Expenses are $.90 for printing and mailing each copy, plus $600 for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the company sell to break even? Define

8 » Suppose a paper manufacturer publishes a newsletter. Expenses are $.90 for printing and mailing each copy, plus $600 for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the company sell to break even? Expenses Income

9 » Choose a method to solve the system. Use substitution since it is easy to substitute for y using these equations. Substitute 1.5x for y in the first equation. Subtract 0.9x from each side. Divide each side by 0.6.

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