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Middle School Math-Learn how to solve unit rate word problems
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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
Lets 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 costs 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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