a chart that shows the relationship of each part to a whole This is a topic that many people are looking for. thetruthaboutdow.org is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, thetruthaboutdow.org would like to introduce to you Part, Whole, & Percent Proportion Word Problems . Following along are instructions in the video below:
“This lesson. We re going to talk about percent proportions in a percent proportion the the ratio between the part and the whole is equivalent to the ratio between the and 100. So therefore you can set it up as an equation or proportion. So here s the equation that we re going to use the part divided by the whole is equal to the percent divided by 100 so let s work on some problems.
Using this equation. In the first case. The first type of question. We re going to solve is finding the percent.
So here s the first one 20 is what percent of 45 feel free to pause. The video. If you want trying so we have part divided by whole is equal to percent over 100. I probably shouldn t move this equation in the middle.
Now. There s something i want to add to this equation. So this will help you in the future. The part is associated with the word is or the number that s associated with the word.
It is and the whole is the number that is associated with the word of i think that s going to help a lot so you need to recognize that 20 is the part 45 is the whole and we re looking for the percentage. So p is 20 w. Is 45 the percent since that s what we re looking for let s call it x over 100. So now what we need to do is cross multiply 45.
Times. X. Is simply 45 x. And then we have 20 times 100.
Which i m going to leave it like this now. 45. Let s divide both sides by 45. So x is going to be 20 times 100.
Which is two thousand and two thousand divided by 45 is about forty four point four..
So that s the answer. Twenty is forty four point four percent of 45 here s another similar example what percent of 12 is 27 feel free to try that problem so we re going to use the same equation part divided by a whole is equal to percent divided by 100 the percent. We re going to make it x. Now.
What is the part and what is the whole in this problem. The number that is associated with is is the part so 27 is the part the number that is associated with the word of is the whole so twelve is the whole so what percent of 12 is 27. Whenever the part exceeds the whole your percentage is going to be greater than 100. Let s go ahead and find a value of x.
So. What we have is 12x after cross multiply is equal to 27 times 100. Which is 2700 now we need to do is divide both sides by 12 and then this is going to give us the answer so 27. Hundred divided by 12 is 225.
So 12 well. 27. Is 200 25 of 12 and so that s how you could be the sentence. If you want to but that s the answer now the second thing that we need to talk about is how to find the part this question is going to illustrate it what is 32 of 86.
So let s write the equation first we have the percentage 32. Now the number that s associated with the word of is 86. And that s the whole so we re looking for the part which we can replace it with x and now we ll just gotta cross multiply. So x.
Times 100. Is 100x and 86 times. 30. To find the value for that that s going to be 27 52.
So we got to do is divide 27 52. By 100 and that s equal to twenty seven point five two so twenty seven point five two is 32 percent of 86. And that s the answer here s another example what number is 21 percent of 250. So we re looking for the part once again unless you place p with x.
The hole is the number associated with the word of that s 250..
We have the percentage. Which is 21 and let s cross multiply. So once again. We re going to have a hundred x is equal to 250 times.
21. 250. Times. 21.
Is fifty 250. Now. Let s divide both sides by 150 250 divided by 100 is fifty two point five. So fifty two point five is twenty one percent of 250 by the way fifty is twenty percent to fifty twenty percent is one fifth.
The last thing that we need to cover is finding the base. So here s a problem that will illustrate this example. Thirty is forty five percent of what number so go ahead and pause. The video and you could try this if you want to so let s start with the equation part divided by whole is equal to the percentage divided by 100 so in this problem.
What is the part and what is the whole 30 is the partner. It s associated with the word is we re looking for the hole. Which is also known as the base. We re looking for the number that s associated with us so 30 is p.
The hole or the base is x. The percentage is forty five. So let s cross multiply. 30.
Times. 100. Is 3000 x. Times.
Is 45 x. So. Let s divide both sides by 45 three thousand divided by 45 is sixty six point seven. So that s basically the value of x.
So that s the the base. So 30 is 45 percent of sixty six point. Seven here s another example. 22 is 34 of what number so in this example.
We can see that the part is 22 and we have the percentage. Which is 34. We need to find the hole or the base 22 times 100. Is 2200 mx times.
34. Is 34 x. So let s find the value of x. By dividing both sides by 34 20.
200. Divided by 34 that s 64 point. 7. If you round it so.
22 is 34 percent of sixty four point seven. And so now you know how to use the percent proportion formula in order to find the part the percent or the base. Which is also known as the hole. Now i want to show you one of my algebra courses that might be useful to you if you ever need it so go to udemycom.
Now in a search box just type in algebra. And it should come up so it s the one with the image with the black background. So if you select that option and if you decide to go to course content you can see what s in this particular course. So the first section basic arithmetic for those of you who want to focus on addition subtraction multiplication and division.
And it has a video quiz at the end..
It s a multiple choice video quiz you can pause it work on the problems. And see the solutions. They covers long division multiplying to large numbers. And things like that the next tutorials on fractions add in subtracting fractions multiplying dividing fractions converting fractions into decimals and so forth so you can also take a look at that next all the linear equations.
Which we covered and just more examples. If you need more help with that the next topic order of operations. Which is also useful graphing linear equations you need to know how to calculate the slope needs to be familiar with the slope intercept form standard form and just how to tell if lines are parallel perpendicular and so forth. And as a quiz that goes with that as well the next topic is on inequalities and absolute value expressions.
Which are also seen into the goal algebra course and then we have polynomials and that s a long section and then factoring you just that s another topic you need to master and then system of equations you can solve it by elimination substitution. There s also word problems as well. Sometimes you got to solve equations with three variables. Xy and z.
So that could be helpful next quadratic equations how to use the quadratic formula how to graph them how to convert between standard and vertex form and then you have rational expressions and radical expressions. Solving radical equations simplifying it things like that and every section has a quiz. So you can always review what you ve learned if you have a test done x. Day so here.
We have complex imaginary numbers you need to know how to simplify those exponential functions logs. I have a lot of videos on logs and then just this is just functions in general the vertical lines has horizontal line test. How to tell for functions. Even or odd.
And then conic sections graph in circles. Hyperbolas ellipses. Parabolas and things like that this two video quizzes. Because it s actually a long section and finally arithmetic and geometric sequences.
And series. So that s my algebra course. If you want to take a look at it and let me know we think ” ..
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“This math video tutorial lesson explains how to solve percent proportion word problems for students in 7th grade. It contains plenty of examples and practice problems in addition to the percent proportion formula needed to solve these problems.nnPre-Algebra Video Playlist:nhttps://www.youtube.com/watch?v=WJqw-cxvKgou0026list=PL0o_zxa4K1BVoTlaXWFcFZ7fU3RvmFMMGnnAlgebra Online Course:nhttps://www.udemy.com/algebracourse7245/learn/v4/overviewnnAccess to Premium Videos:nhttps://www.patreon.com/MathScienceTutor”,
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