Unit Rate Word Problems-Middle School Math-

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

Middle School Math-Learn how to solve unit rate word problems
Definition Unit Rate Short

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.
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[nekokarenart]

I’m using this for my shop! Thank you so much! I don’t think you will ever see this because it was made 5 years ago. But thank you so much.

[samirqureshi]

Thanks for the problem!! Now I can do my test! Thanks it helps me 📖 study :D

[marshanlunch]

Who else is watching this because our teachers directed us becuase of covid19 break

[alissarels.]

I didnt do it your way but i got it thanks i did at the end 168÷4 and i got my answer guys do that for all the problems and its easier than doing all these steps just divide straight i have a test tommorow and im so scared but this helped thanks again

[helenmaloney]

Why do you cross multiply? How does that make sense? Why does that work? I get the set up, but cross multiplying? in these situations a scale factor makes much more sense. Can you help me understand why cross multiplying makes sense?

[meck]

thanks for helping me with my homework by making a detailed videpo

[notghost]

Ok but how do you solve by x?? I need to do 10 pages worth of hw and classwork by tommorow and i need help because i didnt take the class

[theodoredilmohamed]

my teacher told me to comment on this viedo

[mickey-vzso]

My teacher said to watch and make a comment on the video.