Example of mixing problems, Algebra

Assignment Help:

How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution?

Solution

Let x is the amount of 50% solution which we need.  It means that there will be gallons of the 40% solution once we're done mixing the two.

Following is the basic work equation for this problem.

1357_Mixing Problems1.png

Now, plug in the volumes & solve for x.

0.5x + 0.35 (10) =0.4 ( x + 10)

0.5x + 3.5 + 0.4x + 4

0.1x + 0.5

x =0.5/0.1 = 5 gallons

Thus, we required 5 gallons of the 50% solution to get a 40% solution.


Related Discussions:- Example of mixing problems

Operations of Functions, Use (fog)(4), (gof)(4), (fog)(x), and (gof)(x) 1.)...

Use (fog)(4), (gof)(4), (fog)(x), and (gof)(x) 1.) f(x)=x^2+1 and g(x)=x+5

Second form of parabola, As noted earlier most parabolas are not given in t...

As noted earlier most parabolas are not given in that form.  So, we have to take a look at how to graph a parabola which is in the general form.

Evaluate log function, Example    Evaluate log 5 7 . Solution At f...

Example    Evaluate log 5 7 . Solution At first, notice that we can't employ the similar method to do this evaluation which we did in the first set of instance. It would n

Equations, solve the system of equations using the substitution method. y+5...

solve the system of equations using the substitution method. y+5x=10 -10x+3y=5

cramer''s rule, Solve the following simultaneous equations by using Cramer...

Solve the following simultaneous equations by using Cramer's rule                      3x+2y=13                      2x-y=4

#title.writing and using inequalities, six is at least four more than a nu...

six is at least four more than a number. write the inequality represents in this sentence

Example of inverse functions, Here are two one-to-one functions f (x ) and ...

Here are two one-to-one functions f (x ) and g ( x ) if     (f o g )( x ) = x           AND                         ( g o f ) ( x ) = x then we say that f ( x )& g ( x ) are

Multiply a row by a constant, Multiply a Row by a Constant.   In this opera...

Multiply a Row by a Constant.   In this operation we multiply row i by a constant c and the notation will utilizes here is cR i .  Note that we can also divide a row by a constant

Coordinates for the point - graphing, Coordinates for the point  The li...

Coordinates for the point  The listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point. The ordered pair for any spec

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd