Rational Equations and Problem Solving

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Rational Equations and Problem Solving Advanced Math Topics Mrs. Mongold

Example If a certain number is subtracted from the numerator and added to the denominator of the new fraction is equivalent to Find the number.

Example In the United States, 7 out of every 25 homes are heated by electricity. At this rate, how many homes in a community of 36,000 homes would you predict are heated by electricity?

Example In the United States 1 out of 50 homes is heated by wood. At this rate, how many homes in a community of 36,000 homes are heated by wood?

Example Melissa can clean the house in 4 hours, whereas her husband Zack, can do the same job in 5 hours. They have agreed to clean together so that they can finish in time to watch a movie that starts in 2 hours. How long will it take them to clean the house together? Will they finish before the movie starts?

Example Steve takes 1.5 times as long to go 72 miles upstream in his boat as he does to return. If the boat cruises at 30 mph in still water, what is the speed of the current?

Example A fisherman traveling on the river takes 2/3 times as long to travel 60 miles downstream in his boat than to return. If the boat’s speed is 25 mph in still water, find the speed of the current.

Homework Page 419/ 19, 21, 25, 29, 33, 35-59 odds