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Solving Proportions and Ratios: Practical Applications in Real Life

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This content explores various real-life applications of mathematics, focusing on proportions and ratios. It includes examples such as calculating reading speed, currency exchange rates, distances on maps, and training for marathons. Through practical scenarios, the material illustrates how to solve problems involving rates (pages per minute, miles per hour) and conversions (Yen to dollars, inches to miles). By breaking down each problem, readers will gain a better understanding of mathematical concepts and their relevance in everyday situations.

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Solving Proportions and Ratios: Practical Applications in Real Life

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  1. Tom reads 60 pages of a book in 18 minutes. At how many pages does Tom read per minute?

  2. Tom reads 60 pages of a book in 18 minutes. At how many pages does Tom read per minute?

  3. Tom came back from a trip to Japan with 120,000 Yen. When he got back to the US he deiced to exchange his Yen back to the US dollar. How many dollars did Tom come back with if 1 US dollar gets you 83.88 Yen?

  4. Tom came back from a trip to Japan with 120,000 Yen. When he got back to the US he deiced to exchange his Yen back to the US dollar. How many dollars did Tom come back with if 1 US dollar gets you 83.88 Yen?

  5. What is the ratio of Shark loses to shark non loses?

  6. What is the ratio of Shark loses to shark non loses?

  7. Is the following a proportion?

  8. Is the following a proportion?

  9. Tom has been training for a marathon. His currently runs at a pace of 8 miles per hour. How many miles would be run in 3.5 hours?

  10. Tom has been training for a marathon. His currently runs at a pace of 8 miles per hour. How many miles would be run in 3.5 hours?

  11. Solve the proportion

  12. Solve the proportion

  13. What is the ratio of total games played by the cougars to games won by the sharks

  14. What is the ratio of total games played by the cougars to games won by the sharks

  15. A 6 foot tree casts a 3.25 foot shadow. How tall is a tree that casts a 10 foot shadow at the same time of day?

  16. A 6 foot tree casts a 3.25 foot shadow. How tall is a tree that casts a 10 foot shadow at the same time of day?

  17. Is the following a proportion?

  18. Is the following a proportion?

  19. Tom has been training for a marathon. His currently runs at a pace of 8 miles per hour. How long would it take to run 30 miles?

  20. Tom has been training for a marathon. His currently runs at a pace of 8 miles per hour. How long would it take to run 30 miles?

  21. What is the ratio of total games played by the sharks to games tied by the sharks

  22. What is the ratio of total games played by the sharks to games tied by the sharks

  23. Solve the proportion

  24. Solve the proportion

  25. Solve the proportion

  26. Solve the proportion

  27. On a map of Florida, 3 inches represents 20 miles. If Melbourne is approximately 65 miles from Orlando, how many inches would represent this distance on the map?

  28. On a map of Florida, 3 inches represents 20 miles. If Melbourne is approximately 65 miles from Orlando, how many inches would represent this distance on the map?

  29. Joyce has a drawing that is 20 inches long and 14 inches wide. She reduces the picture on the Xerox machine so that the copy is 10 inches wide. How long is the copy?

  30. Joyce has a drawing that is 20 inches long and 14 inches wide. She reduces the picture on the Xerox machine so that the copy is 10 inches wide. How long is the copy?

  31. Solve the proportion

  32. Solve the proportion

  33. Tom has been training for a marathon. His currently runs at a pace of 8 miles per hour. How many miles does he run in 35 minutes?

  34. Tom has been training for a marathon. His currently runs at a pace of 8 miles per hour. How many miles does he run in 35 minutes?

  35. Solve the proportion

  36. Solve the proportion

  37. A map of Connecticut is scaled so that 2 inches represents 40 miles. If Darien is 75 miles from Old Lyme, how many inches would represent this distance on the map?

  38. A map of Connecticut is scaled so that 2 inches represents 40 miles. If Darien is 75 miles from Old Lyme, how many inches would represent this distance on the map?

  39. Solve the proportion

  40. Solve the proportion

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