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

Writing Equivalent Ratios, John can drive his car 15 miles on 2 gallons. Ho...

John can drive his car 15 miles on 2 gallons. How many gallons of gas will john need to drive 195 miles?

Hyperbolas, Find the standard form equation for... 4x^2-y^2+24x+4y+28=0

Find the standard form equation for... 4x^2-y^2+24x+4y+28=0

Find out the compound interest, Example: We are investing $100,000 in an ac...

Example: We are investing $100,000 in an account that earns interest at a rate of 7.5% for 54 months.  Find out how much money will be in the account if, (a) Interest is comp

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

Exponetial growth and decay, in the year 2000, radio stations numbered 220....

in the year 2000, radio stations numbered 220. The number of stations has since increased by approximatly 14.3% per year. Let x represent the number of years since 2000,and y repre

Ratios, Lee is taking some friends on a picnic. They''ll need to follow a p...

Lee is taking some friends on a picnic. They''ll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on

I need help, on my math home work it says draw a numberline and put the fol...

on my math home work it says draw a numberline and put the following numbers on order -2.5 2.5 4\3 10percent -100percent -6\3 02 [-4] o -4\5

Substitution method, Not every linear system along with three equations and...

Not every linear system along with three equations and three variables utilizes the elimination method exclusively therefore let's take a look at another instance where the substit

Introduction to Algebra, I need help with my Discussion 1 for week 5 please...

I need help with my Discussion 1 for week 5 please. w^2 + 30w + 81 and ac + xc + aw^2 + xw^2 and last one is x^4 - x^3

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