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Proportions: Word Problems

Learn how to solve word problems using proportions with practical examples and step-by-step instructions. Master the concept of proportions for problem-solving efficiency.

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Proportions: Word Problems

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  1. Proportions:Word Problems

  2. Example: Larry planted 17 trees in 3 hours. If he wants to plant 102 trees, how long will it take him?

  3. Steps to Follow • Identify the two quantities being compared. • Set up a proportion with labels. • Fill in the three numbers that you know. (The given ratio will be the first fraction.) • Use a variable for the one part that you do not know. • Solve the proportion by cross-multiplying and dividing.

  4. Example: Larry planted 17 trees in 3 hours. If he wants to plant 102 trees, how long will it take him? _________ = _________ 102 17 trees trees h 3 hours hours

  5. Steps to Follow • Identify the two _____________ being compared. • Set up a ______________, with labels. • Fill in the ________numbers that you know. (The given ratio will be the first fraction.) • Use a ___________for the one part that you do not know. • Solve the proportion by ____ -_________ and ___________. quantities proportion three variable multiplying cross dividing

  6. Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks? _________ = _________ h 17 hours hours 5 2 weeks weeks

  7. 2. In the typing world, 80 words per minute is considered acceptable. How many words per 30 minutes is this? _________ = _________ 80 w words words 30 1 minute minute

  8. 3. In a shipment of 400 total parts, 14 are found to be defective. How many defective parts should be expected in a shipment of 1000 total parts? _________ = _________ d 14 defective parts defective parts 400 1000 total parts total parts

  9. 4. Joseph drives 125 miles in 2 hours. At the same rate, how long will it take to travel in 1500 miles? _________ = _________ 125 1500 miles miles 2 h hours hours

  10. 5. A piece of cable 8.5 cm long weighs 52 grams. How long will a 416 gram piece of the same cable be? _________ = _________ c 8.5 cm cm 416 52 grams grams

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