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Proportions

Solve various math problems involving proportions, ratios, and scale models. Practice your problem-solving skills with these real-world scenarios.

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Proportions

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  1. Proportions Virginia Tech rejects 12 students for every 110 that it accepts. How many are accepted if 96 are rejected?

  2. I can type 70 words per minute. How many words could I type in 1 hour?

  3. I want to enlarge a picture to hang on the wall. If the original picture is 4 inches wide and 6 inches long, what would the new width need to be if the length became 14 inches?

  4. At a professional conference, there are 8 men for every 6 women. There are 64 men at the conference. How many women are at the conference?

  5. The ratio of teachers to students at a middle school is 2 to 45. There are 900 students at the school. How many teachers are there at the school?

  6. Krystal was able to drive her car 300 miles on 12 gallons of gasoline. At this rate, how many miles did she drive using 8 gallons of gasoline?

  7. A local charity expected to sell 45 raffle tickets and award 5 prizes. Based on this ratio, how many prizes would be awarded if only 18 tickets were sold?

  8. A type of tropical fish in an aquarium requires 20 gallons of water for 3 fish. How much water is needed for 24 fish?

  9. Ashley was able to drive her car 420 miles on 24 gallons of gasoline. At this rate, how many miles did she drive using 18 gallons of gasoline?

  10. A set of landscape plans shows a flower bed that is 6.5 inches wide. The scale on the plans is 1 inch = 4 feet. What is the width of the actual flower bed?

  11. The inside of the Lincoln Memorial contains three chambers. The central chamber, which features a marble statue of Abraham Lincoln, has a height of 60 feet. Suppose a scale model of the chamber has a height of 4 inches. What is the scale of the model?

  12. A model airplane is build using a 1:16 scale. On the model, the length of the wing span is 5.8 feet. What is the actual length of the wing?

  13. If 9 fully loaded trucks carry a total of 140,400 pounds, how many pounds can 3 trucks carry?

  14. If 8 newspapers cost $3.20, how much will 6 newspapers cost?

  15. Last month, Bailey’s dog at 40 cans of dog food in 31 days. How many cans should Bailey but to feed his dog for the next 6 days?

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