Usually, when I face problems like this, a weird thing happens in my brain where I experience a sensation of vast empty space between my ears. Alternatively, I experience a vast, arid desert, devoid of dunes or wind or anything. It is “I have no clue” but on more steroids than Pete Rose ever saw in his whole lifetime. It is just a pure, unadulterated emptiness. But this, Mr. TabletClass Math Man, this gives me hope. A slight glimmer of a distant star in the vast blank universe of my math brain. Thank you.

Let x= the number of small cans sold. Since there were twice as many large cans, we use 2x to represent the number of larger cans sold. Inserting prices and total cost: 8.95x + 2x(15.95) = 694.45. 8.95x + 31.90x = 694.45. 40.85x = 694.45. x = 694.45/40.85 = 17. x was the number of small cans sold, which is 17. Reintroduce prices: 17 X 8.95 = 152.15. Subtract from the total (694.45): 542.30 is the total amount of the large cans. Divide: 542.30/15.95 = 34 large cans. Now, how many square feet will the total wood stain cover? (Trick question, there's no way of knowing without volumes of each can size, as well as coverage for the type of wood stain sold. Solution: call Lowe's.)

MR. TabletClass Math, thank you for another fantastic video/lecture on Algebra System Word Problem in Algebra One. These word problems are fun to solve bro.

What a convoluted way to solve a really simple problem!

I got this! But I wouldn't even try if I had not watched previous videos. Great stuff to start the morning.

Yeah, teacher. Thanks for the help! I was able to do it myself though. You are very funny. SUBSCRIBED!

Just like coins, I used the stack method. I merely stacked two large cans, with a small can on top. I added the values, $15.95+$15.95+$8.95=$40.85. $694.45/$40.85=17 stacks. From there, it's easy to see, that there were 17 small cans, (one in each stack), and 34 large cans. (two in each stack) I guess you would call this "Prealgebra".

Seems like this should be simpler. 8.95x + 15.95 * 2x = 694.45 X(8.95 + 31.90) = 694.45 I guess I learned to do the the substitution as part of the initial setup. Long ago

When there's two unknowns then to solve requires two equations. First Step: assign variables: number sold L => number of large cans S => number of small price each: P.L = $15.95 P.S = $8.95 Total Sales Revenue T.S = $694.45 Step Two: write two equations from the problem: eq.1: 2S = L eq.2 T.S = $8.95S + $15.95L 694.45=8.95S+15.95L Step Three: substitute eq.1 in eq.2 694.45=8.95(S)+(2S)(15.95) =8.95(S)+31.90(S) =40.85(S) (S)=(694.45)/(40.85) S=17 ans.1 small cans # = 17 from eq.1: 2S=L L = 2S L = 2(17) = 34 ans.2 large can # = 34 VERIFY: eq.2 694.45=8.95S+15.95L $694.45 =?$8.95(17)+$15.95(34) =?$152.15+$542.30 =❤ $694.45

Do you have something for the customs and boarder patrol math ?

What is the link to this video?

MR. TabletClass Math, thank you for another fantastic video/lecture on Algebra System Word Problem in Algebra One. These word problems are fun to solve.

Thank you for the clear explanation of how to solve the system and solve for x.

I discovered a few years ago I'd forgotten how to do simultaneous equations and it really bothered me. Thank you so much for the clear explanation - I'll get cracking on solving a few and come back to your next tutorial that interests me. I loved geometry which was dropped from the curriculum as I progressed up senior school, so it'll probably be those tutorials first.

Nice !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Ratio of cans sold is 2L:s (units) unit price is (15.95*2) + 8.95 = $40.85 Total sales of $694.45/Unit price of $40.86 = 17 Units 17 * Unit ratio of 2L:s = 34 Large + 17 small cans

starts at 12:13

Why did we need y at all when it would be 2x at the start?

Try X x 8.95 + 2X x 15.95 = 694.95 Gives 17 small and 34 large, or am I wrong?

In Scotland we call them Simultaneous equations

I never took anything but general math and I regret it.i'm not so sure about the 2 x.isn't this just making x equal 1 because the large cans cost less than 2x the small cans. I just took the cost of 1 small added 2 large which is the cost of a set of 3.then divided the total by this which gave me 17 sets.x1 for small x2 for large

You didn't actually use the system. You just did a substitution to make a single equation. If you used a system (what we called simultaneous equations when I was in school) then the equation 2x = y would become 2x - y = 0, and then go from there with both equations. Multiply the top equation by 15.95 to get 31.90x - 15.95y = 0. Then add the equations. You'll get 40.84x = 694.95.

The answer is 34 large and 17 small when 40.95x= 694.45.

This is painful

34 large to 17 small cans

34 large and 17 small.

B is number of big size (large) T is number of tiny size (small) 15.95B+8.95T=694.45 and B=2T are the two equations factor first equation by .05 (15.95B+8.95T)/.05=694.45/.05 (15.95B/.05)+(8.95T/.05)=694.45/.05 319B+179T=13889 Do substitution (319*2T)+179T=13889 638T+179T=13889 817T=13889 17=T B=2T B=2*17 B=34 check 15.95*34=542.30 8.95*17=152.15 add the two 542.30+152.14=694.45 Okay ... So I am doing these for fun cause it's been 40 years since I studied all these and it's nice to refresh. But I used to do these things without all the steps listed out.

someone told me if you know algebra high school math college alegbra be easy is that so.

First step: Set your variable to be your answer. Let x be the number of small cans sold. Then the number of large cans sold is 2x. Second step: Construct your equation. The cost of the small cans is x * ($8.95) The cost of the large cans is 2x * ($15.95) The total cost is thus x * ($8.95) + 2x * ($15.95), which equals $694.45. Third step: Solve. x * (8.95 + 2*15.95) = 694.45 x * (8.95 + 31.90) = 694.45 x * (40.85) = 694.45 x = 694.45/40.85 x = 17 Answer: The store sold 17 small cans and 34 large cans. That took me a lot less than 23 minutes!

173651

Never use 2 unknowns when 1 will suffice.

If we let the number of small cans sold = X the number of large cans will be 2X So ... I think that the equation here is 8.95X + 15.95(2X) = 694.45 8.95X + 31.90X = 694.45 40.85X = 694.45 X = 694.45 / 40.86 X = 17 17 SMALL CANS 34 LARGE CANS

7 sold of small cans and 14 sold of large cans

Great explanation of the math part. Foreword much too long

How did it take 23 minutes to explain this problem? Not sure this should take longer than 10 minutes even with the pre problem build up talking about all the other courses. Add the cost of two large cans to the cost of a small can. Divide the total revenue by that number. That number is the number of small cans sold and twice that number is the number of the large cans sold. We are at six minutes of the video and I type using the hunt and peck method. The video is talking about models. Now I am getting confused and he is using variables. I'm out!

25 small and 29 large

You talk too much.

i think there might be some help here but i can never get to it! you talk so much!! i am a mum studying and i dont' have time for this. you will be loosing others because of this so i thought id say

I fell asleep 2 times before the video started, calculate that