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

Sketch the graph through the process of finding the zeroes, Sketch the grap...

Sketch the graph through the process of finding the zeroes Example Sketch the graph of                                  P ( x ) = x 4 - x 3 - 6x 2 . Solution

Fundamental theorem of algebra, If P (x) is a polynomial of degree n then P...

If P (x) is a polynomial of degree n then P (x) will have accurately n zeroes, some of which might repeat. This fact says that if you list out all the zeroes & listing each one

Augmented matrices, In this section we have to take a look at the third met...

In this section we have to take a look at the third method for solving out systems of equations.  For systems of two equations it is possibly a little more complex than the methods

Radicals and formuals, A cyclist bikes 12 blocks south and 5 blocks east, a...

A cyclist bikes 12 blocks south and 5 blocks east, and rides back along a diagonal path. what is the total distance that he travled? show the work

Radical Expressions, what is the answer to the square root of 125?

what is the answer to the square root of 125?

Set, Ask question #MA survey of 400 of recently qualified chartered Account...

Ask question #MA survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered acco

Vertical asymptote, Vertical asymptote In our graph as the value of x a...

Vertical asymptote In our graph as the value of x approaches x = 0 the graph begin gets extremely large on both sides of the line given by x = 0. This line is called a vertical

#ineedhelp, How do you find perpendicular line equations?

How do you find perpendicular line equations?

Percentage, Two sessions of swimming lessons were held at a pool. In the fi...

Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls. How many girls attended the first session of s

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