Using Algebra To Solve Word Problems

This tutorial shows how to set up and solve 3 linear word problems using Algebra.

[rdandlong]

What frustrates me is this process looks understandable, but when it comes time to actually do it without guidance, my brain freezes up and I have no clue as to how to set up the equation. Then I quit. The second and third equations are exactly what I'm talking about.

[ingriddouglas]

You are the best, I look at your videos, quite helpful. Thank you sir.

[Kaovmi]

I’m so bad at math,
This video helped a lot! <3

[kennedyani]

Tanks very much your examples have helped me understand word problems better
Pls make more videos

[randomanimations]

I like how you break it down, nice job!

[marieedward]

I really think that this is the only yt video that helped me!

[sfyzie_ice]

thank you much! This helps a lot for exam

[jayliche]

Taking the last part of my GED test tomorrow
I know GED tests love word problems

Passed my first 2
Only math & science left

[sheeppegasus]

This video just made solving word problems with algebra click for me

[mathtalinohelper]

how about if the question is asking for Jana's older sister or younger ...how to solve it?

[MohammadTabbakha]

Thank you so much man that so kind of u

[josephpostma]

For the first problem my equation was 9.93 - 3.99 ÷ 3 = X/1.98. My answer is the same but the equations look different.

[Ohyuhh]

The only problem I have is how do I write down the word problem which sucks

[loredfolk]

I paused the video on each question, trying to solve it without using any help.
Here is my answer and also the method of working I used to get this answer:
Number 1 -
Answer = 1.98 per pound.


Solution:
Since Watermelon is $3.99
Let x be the price of the 3 pounds of cherries.
$9.93 - $3.99 = 5.94
Meaning that the 3 pounds of Cherries is equal to 5.94
5.94+3.99 = 9.93

Since we've found out the cost of 3 pounds of Cherries, to find how much each is, we will need to divide 5.94 by 3.
5.94/3 = 1.98

C = 1.98. Therefore 1 pound of cherry is 1.98, 3 is 5.94. etc

We can now check if this is correct.

1.98x3+3.99 = 9.93.

Therefore the solution is correct, and C is 1.98 per pound.


Number 2 -
Answer = 9
Solution:
Let x be n(number)

It says 3 x the number. Therefore 3x.
It also says that it is 2 less then 4 times that same number(x). Therefore it is 4x-2
The answer when adding together is 61. Adding the two expressions we should get an equation like this.
3x+4x-2 = 61.
We can collect the like-terms, 3x and 4x.
3x+4x = 7x

Final equation:
7x-2 = 61.
Add two to 61
61+2 = 63
7x=63
Divide both sides by 7:
63/7 = x
9 = x
Ans = 9

Number 3 -
Let Janes age be x
Since we are given data on her older sister and younger sister, am guessing we would have to write a equation like this. I am not that strong at age problems. Kinda find them hard. Anyways
Answer = 7
Solution:
Janes age = x
It says that her older sister is 1 year more than twice her age(Jana). Therefore:
Jane Older sister = x+1+2x
Janes younger sister says that she is 3 years younger then Jane(x)
Therefore:
Younger sister = x-3

So since it says that the sum is 26. We will need to add all the expressions created above^^:

So it should be:
x-3+x+1+2x=26.
Collect like terms.
4x-2 = 26.
Add 2 to 26
4x=28
Divide both sides by 4
x=28/4
x=7

I am sure that the first two are correct, not sure about the last one. Ill check in a few minutes. Ill edit this comment to see the score I got. Bye


Edit: Okay I got full marks. 3/3. Didn't expect it but yeah. Algebra is sometimes confusing but also easy depending on the question.
Bye

[zerblack]

ik this was posted in 2017 but i'd like to ask on an example i have in my book well an activity, it goes "The sum of two numbers is 55. The greater number is seventeen times the smaller number plus one. Find the numbers" and then i verify it like in the video though im really confused- hopefully i don't look like an idiot i'm in 9th grade

[Fernando-usnf]

I did the closes factor of seven there was to 61 then subtracted 2 and then I did the rest

[kingabbasi]

very easy for me
9.93-3.99 = 5.94 cherries 3 pounds

5.94 ÷ 3 = 1.98 cost per pound of cherries answer is 1.98

[eliteevildarkness]

What I hate abt these algebra word problems is that not every question has the same logic behind
And what honestly puzzles me is how easily other people are able to apply that twisted logic that I cant see .
See there are certain questions that you can practice and get good at
But applying logic in twisted ways is subjective.
Im a dumbass and I cant do it .
:(

[klashslash]

Problem #1 was 1.98 at 0:10 is when it clicked

[justaguy]

lets see what the simplified root of math is,

Ok plopped it into my calculator

It's answer came out to =ty

Somebody tell me what it means