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Unit Rate Word ProblemsMiddle School Math
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Unit rate is the comparison of two items in which one is set to 1. • For example, kilometers per hour, heartbeats per minute. • For unit rate example problems • http://www.moomoomath.com/Unit-Rate.html • Middle School Math-Learn how to solve unit rate word problems • Definition Unit Rate Short • • What is Unit Rate? • Transcript • Welcome to MooMooMath where we upload a new Math video every day • In this video, I would like to talk about unit rate. • Lets first go over we solve for unit rate • Step 1. Set up a proportion equal to one unit. For example: • If 8 oranges cost 40 cents, what is the cost of 1 orange? • After the proportion is set up cross multiply • Step 3. Solve for x. • Therefore, one orange equals 5 cents • Let's look at some more examples • The first example we have, • If 24 pounds of pumpkin seeds cost $18, how much does 1 pound of pumpkin seed cost? • First lets set up a proportion. 18 dollars equals 24 pounds • I will write dollars out. • I next set the fraction to one and place the same units as the original fraction. • We have 1 pound and our x will be the cost • Notice we have dollars and dollars and pounds and pounds • The next step involves cross multiplying • I end up with 24x = 18 • I next isolate the x by dividing by 24 • The 24's cancel out and x equals .75 • What does this tell us? • Plug the x into the fraction and .75 dollars equals 1 pound. • Therefore, 1 pound of pumpkin seeds equals 1 pound • If 4 shirts at the bargain rack cost 24.24, how much does 1 shirt cost? • Again, set up a proportion. • 24.24 is how much 4 shirts cost and remember with a proportion I need the same units on the top and bottom. • The shirts match up and 1 shirt equals x dollars. • Next I cross multiply • We have 4 x equals 24.24 • x will equal to 24.24 divided by 4 which equals 6.06 • We can rewrite that as 1 shirt equals 6.06 • Finally I have one more. • If a car travels 168 miles in 4 hours, how far does the car travel in one hour? • Place 168 which is how far it travels. • It takes 4 hours. • Set a proportion with miles on top and hours on the botom of the fraction. • Cross multiply to find the unit rate • I have 1 hour here so x will be miles • When I cross multiply I get 4x = 168 • Solve for x by dividing both sides by four • x = 42, and I can rewrite that as 1 hour equals 42 miles which tells us is that the car will travel 42 miles in 1 hour. • Hope this helps with unit rate word problems. • MooMooMath uploads a new Math video everyday • At MooMooMath we provide helpful Math and Geometry videos to help you figure out how to solve Math problems or review old Math concepts you may need to refresh. If you’re a Math student or teacher, we'd love to have you subscribe and join us! • Subscribe • http://bit.ly/1d8EvIu • Let’s connect • MooMooMath • http://www.moomoomath.com/ • Google+ • https://plus.google.com/u/0/+MooMooMath • Pinterest • / moomoomath • Twitter • / moomoomath • ~-~~-~~~-~~-~ • Please watch: Study Skills Teacher's Secret Guide to your Best Grades • • My new book-Study Skills Teacher's Se... • ~-~~-~~~-~~-~
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