Proportions Word Problems Example Larry planted 17 trees

Proportions: Word Problems

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

Steps to Follow 1. Identify the two quantities being compared. 2. Set up a proportion with labels. 3. Fill in the three numbers that you know. (The given ratio will be the first fraction. ) 4. Use a variable for the one part that you do not know. 5. Solve the proportion by cross-multiplying and dividing.

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

Steps to Follow quantities 1. Identify the two _______ being compared. proportion 2. Set up a _______, with labels. three 3. Fill in the ____numbers that you know. (The given ratio will be the first fraction. ) 4. Use a ______for the one part that variable you do not know. multiplying cross-_____ 5. Solve the proportion by ____ and ______. dividing

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

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

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 defective parts _____ 14 defective parts = _____ 400 total parts 1000 total parts

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

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 _____ = _____ cm 8. 5 cm 52 grams 416 grams