Algebra MIXTURE WORD PROBLEM - Let’s solve it step-by-step…. 

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Mixture Formula: (Concentration 1 x volume 1) + (concentration 2 x volume 2) = (concentration 3 x volume 3) Note: you don't need to use decimals. You can use integers. You'll get the same answer. Volume 1 + volume 2 = volume 3 Let x = volume 1 x + volume 2 = 10 Therefore: volume 2 = 10 - x. This is the key. From here it's simple to set up the equation. 5x + 20(10 - x) = 10 x 12.5 Basic algebra from here. x = 5 ounces

Here is a similar word problem I got when I attended Seneca college: How many litres of a 20.0% (w/w) solution of an acid should be added to 40.0L of an 80.0% (w/w) solution of the same acid to make a 60.0% (w/w) solution. It is assumed that volumes are "additive" when mixed.

Trying to get a grasp on the system, checked what would happen if you would mix 'em 1 to 1. The average of 5/100 and 20/100 is 12.5/100. So equal parts. Done :-)

i love algebra word problems

Just recognize that 1oz @ .2 plus 1 oz @ .05 together has .25oz hcl per 2 oz of volume, meaning .125 per oz, 1:1 ratio of volume of the two concentrations is correct. Then, in order to get 10 oz volume @ the correct mix we need 5 *(1:1), so 5oz of each concentration = ((5*.05 hcl)+(5*.2hcl))/10oz volume = .25ozh + 1.0ozh in 10oz vol, or 1.25/10 = .125 or 12.5%

Because the average of 5% and 20% is (5 + 20)/2 = 12.5% and 12.5% is what you want doesn't that just mean the same amount of both ? 10oz = 5oz of both.

Seems like 5oz of each gets you there. 5oz(.05h)+ 5oz(.25h) = 1.25h/10oz =.125 h/1 oz * 100% 12.5%h/oz

THe alligation method A_1 / A_2 = ( B_1 - B ) / ( B - B_2 ) A_1 / A_2 = ( 20 - 12. 5 ) / ( 12.5 - 5 ) A_1 / A_2 = 7.5 / 7.5 = 1 / 1 so the two parts of 10 must obey this : therefore, x / ( 10 - x ) = 1 / 1 10 - x = x 2x = 10 x = 5

You don't have to use a different variable of "y". He could have used 10-x instead....

I did this by adding the 0.05 and 0.2 then x by 5. This gives 1.25 but I'm stuck on why I need to divide by 10 to get the .125 ounces. Obviously because of the 10 ounces struggling to understand how that bit works. Even on the video it jumps over this when x by 100 to get rid of decimals.

{0.5*20}= 0.100 {12.5÷100}= 25

I got it right by my setup is wrong: .05x + .20X = 10(.125) simplified to 25x = 1.25 - help!!!

Don't know about all the steps so I suppose it doesn't count...but I did that in my head in about 15 seconds. Tried 6 and 4 first, that didn't work. 5 x 20 is 100 and 5 x 5 is 25. 125/10 is 12.5%

I am so confused on these mixture word problem.

note that : ( 20 + 5 ) / 2 = 12.5 so that means that x and 10 - x must be the same value. THererfore, x = 10 - x 2x = 10 x = 5 As a result, 5 ounces of the 5% solution is needed.

Wow:D

Talked waaay to much before anything helpful. Over 5 minutes at the beginning.

Very long winded.

Get to the damned point