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Ratios and Proportions

Ratios and Proportions. Warm Up - Simplify. Ratio – comparison of two numbers by division. Proportion – an equation stating that two ratios are equal. Ratio. # boys to # girls # boys : # girls. Ratios are equal if the cross products are equal. Solve. Solve.

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Ratios and Proportions

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  1. Ratios and Proportions

  2. Warm Up - Simplify

  3. Ratio – comparison of two numbers by division. Proportion – an equation stating that two ratios are equal.

  4. Ratio # boys to # girls # boys : # girls

  5. Ratios are equal if the cross products are equal.

  6. Solve

  7. Solve

  8. Solve

  9. Seth earns $152 in 4 days. At that rate, how many days will it take him to earn $532?

  10. Lanett drove 248 miles in 4 hours. At that rate, how long did it take her to drive 93 miles?

  11. A blueprint for a house states that 2.5 inches equals 10 feet. If the length of a wall is 12 feet, how long is the wall on the blueprint?

  12. Smallest Angle: The ratio of the measures of the angles of a triangle is 2 :7 : 3. Find the measure of the smallest angle of the triangle.

  13. Find x: Find the 2nd largest shared holder’s profit: The profits in a business are shared by three partners in the ratio 4 : 5 : 9. The profits for the year was $720,000. Determine the number of dollars received by the partner with the second largest share.

  14. Find x: The largest angle: The ratio of the measures of the angles of a triangle is 3 : 4 : 2. Find the measure of the largest angle of the triangle.

  15. Find x: Find the number of boys. If the ratio of boys to girls in a geometry class is 3:1, and there are 28 students in the class, how many are boys?

  16. The width of a rectangle is 3/5 of the length. The perimeter is 48 feet. Find the area of the rectangle.

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