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Published byBenjamin Briggs Modified over 9 years ago
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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 are girls?
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» 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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Solve for b. Use the first equation. Substitute for b. Combine like terms. Solve for g.
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Substitute 240 for g. Multiply both sides by 240. There are about 360 twelfth- grade boys and 240 twelfth- grade girls.
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» 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
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» 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
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» 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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