Showing posts with label proportions. Show all posts
Showing posts with label proportions. Show all posts

Proportion Word Problems

Thursday, September 21, 2023

Proportion Word Problems

Steps for solving and setting up Proportion word problems. 1. Circle the two items you're comparing. 2. Set up and label the unit for your first ratio. 3. Set up the second ratio and include a variable for the unknown value (the value you're trying to find). 4. Solve using a cross product. 5. Check cross products and make sure your answer is LOGICAL!

Let's look at a sample problem.

Taylor hikes 10 miles in 4 hours. How far can she hike in 18 hours.

1. Circle the two items you are comparing which would be miles and hours.
2. Set up the units you are comparing which would be miles/hour.
3. Set up the second ratio which includes the variable for the unknown.
4. Solve


5. Check your answer to see if it is logical and 45 miles is a logical answer.





Solving Proportion Word Problems

Thursday, April 21, 2016
How to set up and solve proportion word problems.



When setting up proportions remember to set up both fractions with the same units in the numerator and the denominator.
Once the proportion is set up, cross multiply, and solve for the variable.

Problem 1. A boat can travel 126 miles on 18 gallons of gas. How much gas will it need to go 175 miles?

Problem 2. A car can travel 442 miles on 13 gallons of gas. How far can it travel on 4 gallons of gas?

A boat can travel 144 miles on 16 gallons of gas. How much gas will he need to travel 171 miles?






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Middle School Math-Solving Unit Rate Word Problems

Tuesday, March 22, 2016
In this video you will learn how to set up unit rate word problems.

Unit rates are rates expressed as a unit of one.
The three unit rate word problems solved in this video include..

"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?

If 4 shirts at the bargain rack costs 24.24, how much does 1 shirt cost?"

Each of these problems are solved with step by step directions.





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Using Proportions to Solve Word Problems

Thursday, January 7, 2016



In this video you will learn how to set up proportions in order to solve word problems.

How do you set a proportion?
First will set it up as two fractions that are equal to each other.
The fraction needs to have the same unit on the top and the matching unit on the bottom.
Next, you solve it by cross multiplying.
Finally, you just solve the equation.

Let’s look at an example of setting up a proportion.
Example problem number 1.
A map scale says 1 inch = 2 miles, how many miles will 4 1/2 inches.

Step 1. Set up a proportion of 1 inch =2 miles the
We will set up 1 inch/ 2miles = 4.5 inches/x miles

Step 2. Complete a cross product

Step 3. Solve

Proportion word problem 2

The Ford F150 can travel 150 miles on 10 gallons of gas. How much gas is required to travel 150 miles?

Set up a proportion
150 miles / 10 gallons = 750 miles / x gallons of gas

Now we just complete a cross product.
150 times x = 10 times 750
750 x 10 =7500 and divide both sides of the equation by 150 which equals 50

What does 50 represent?
It represents the gallons of gas.






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Unit Conversion-Math Help

Thursday, November 19, 2015
If you are able to run 5 kilometers in an hour, what is this pace in miles an hour? This would be an example of a unit conversion. A problem like this could also be called a dimensional analysis problem. A unit conversion problem can be solved by setting up a ratio or proportion, cancellingunits and then multiplying two fractions.

These three videos will help you how to set these proportions up, and solve.

Video one is a starter video. The sample problems only involve making one conversion.
For example, 345 ft/min = _______ ft/hr


Video Two solves unit conversion problems in which two conversions are needed in order to reach your goal. These problems can be confusing,however,after watching several example problems you will realize it is really not that difficult.



Finally, this third video uses boxes, and different colors while setting up a unit conversion problem. This method helps you organize, and solve a unit conversion problem. If you get confused on how to set up a unit conversion problem, this video will help.



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Similar Triangles in Geometry

Friday, November 1, 2013

Video of the Day

Similar Triangles

Similar triangles have the same shape but are different sizes. Imagine you take a small triangle and place it on a copy machine and enlarge the triangle. The enlarged triangle would have all the same angle measures it would just be enlarged. This short video explains similar triangles and how to find missing sides.

Video Guide
:15 Definition Similar Triangles
1:04 Rules for solving similar triangles explained   
       Set up a proportion then solve the proportion
1:37 Sample problem similar triangles solved with step by step directions
2:45 Sample problem finding missing sides on similar triangles with step by step directions

For more Math Videos
http://www.moomoomath.com/A-Z-List-Math-Webpages.html#.UelAthvD_IU

For more on similar triangles
http://www.moomoomath.com/Similar-Triangles.html

 

Hope this video helps in your class

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