Mixture problems 2 | Linear equations | Algebra I | Khan Academy

Mixture problems 2

Missed the previous lesson?

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra channel:

[alexandriacolburn]

I love how all these comments are from a few years ago. But, in 2022, Khan academy is still a math genius. Thanks, Sal!

[bobjones]

you mak this much more complicated than it really is supposed to be, but nevertheless you make it look easy as usual!

[Furryfriends]

My sixth grade brain can’t figure this out until now and I’m saved from the test I have tomorrow worth 90% of my grade 😮‍💨 😂😅

[sarrymint]

Thank you!! I was certainly frustrated the night before testing and I searched through some videos and they taught me hard things, but this video really blowed my mind and finally made me understand anything! Thank you so much!^^

[Synicizm]

Thank you so much! 7 of us couldn't remember how to help my daughter with her 8th grade math homework, but you rescued us!!!

[YouGotOwned]

50 ounces of 25% = 50(.25)
add it with x amount of 10% = .1x
which will give 50+x amount of 15% = 50+x(.15x)
working equation would be
50(.25) + .1x = 50+x (.15x)
=>12.5 + .1x = 7.5 + .15x
=>12.5-7.5=.15x - .1x
=>5=0.05
=>100

just another way to look at it...

[GlitterinAsh]

This made my life 10 times easier thanks!!!

[Chrome]

So set up 2 equations for the starting solution and the solution being added. then add the solution amounts. fill in the desired solution saturation/amount of lesser substance. Make a final equation from (Total Resulting solution x Saturation percent) = (Percentage of lesser substance in starting solution x Percentage of lesser substance in solution being added).

[igals]

My equation:


(12.5+0.1x)/(50+x)=0.15

x=100
We need to add 100 ounces.

[jamespruett]

the only way this is algebra-I and not chem-1 is if the teacher presented the table, made the student fill it in, and told them how to put the two questions together. Very hard for Alg-I students.

[ananyanagar]

I am kind of confused. So in the equation you did to find x you did:
0.15x = 5+0.1x
then you subtracted 0.10x from each side,
so wouldn't x be gone from the left side?

[ariellahmascaro]

Omg this explained it so much simpler than my algebra teacher did! Thanks!