SOLUTION: .35*2m^3 + .15*6m^3 = x/100*8m^3 I'm not sure how to proceed from here. I got the solution online, but steps the tutor considered redundant were omitted, and even working backwar

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Question 475483: .35*2m^3 + .15*6m^3 = x/100*8m^3 I'm not sure how to proceed from here. I got the solution online, but steps the tutor considered redundant were omitted, and even working backward from the solution, I can't figure out what they were. I need those steps so I can figure these things out on my own. Thanks for considering my problem. Ron
Found 3 solutions by ewatrrr, stanbon, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Now that I am understanding Your question properly:

Mixing 2m^3 of 35% solution with 6m^3 of 15% solution

Generally, recommend letting x represent a 'decimal value' on the right side

         Mixing

 .35*2m^3 + .15*6m^3 = x* 8m^3  

      1.6m^3 = x*8m^3

      1.6/8 = x

        .20 = x    |.20 = 20/100 OR 20%    |Converting the decimal to Percent

     mixing will result in 8m^3 of  20% Solution



If I am understanding Your Question properly: disregard

.35%2A2m%5E3+%2B+.15%2A6m%5E3+=++x%2F%28100%2A8m%5E3%29

.70m%5E3+%2B+.90m%5E3+=+x%2F%28100%2A8m%5E3%29

1.6m%5E3+=+x%2F%28100%2A8m%5E3%29

1.6m%5E3+%2A+%28100%2A8m%5E3%29+=+x    

1.6m%5E3+%2A+%28800m%5E3%29+=+x    |%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29

      x = 1280m^6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
.35*2m^3 + .15*6m^3 = x/100*8m^3
-----------------
0.70m^3 + 0.90m^3 = x(0.08m^3)
----
(1.6m^3)/(0.08m^3) = x
x = 20
==============
Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There is some ambiguity in the rendering of your equation, but I'm going to presume you mean:



Further, since you cannot solve this for other than to say is any real number, that you need to solve for

Step 1: Multiply 0.35 times 2, 0.15 times 6, and times 8.

Step 2: Re-write your equation:



Step 3: Combine like terms in the LHS:



Step 4: Multiply both sides by



Solve for

John

My calculator said it, I believe it, that settles it
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