SOLUTION: if holstein cows produce milk that is on average 3.66% butterfat and jersey cows produce milk that is on average 4.5% butterfat, how many gallons of jersey milk should be added to

Question 1104838: if holstein cows produce milk that is on average 3.66% butterfat and jersey cows produce milk that is on average 4.5% butterfat, how many gallons of jersey milk should be added to every 100 gallons of Holstein milk to have milk that is 4% butterfat
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
if holstein cows produce milk that is on average 3.66% butterfat and jersey cows produce milk that is on average 4.5% butterfat, how many gallons of jersey milk should be added to every 100 gallons of Holstein milk to have milk that is 4% butterfat?
:
Let j = amt of Jersey milk required
.0366(100) + .045j = .04(j+100)
3.66 + .045j = .04j + 4
.045j - .04j = 4 - 3.66
.005j = .34
j = .34/.005
j = 68 gal of Jersey milk to be added to the 100 of Holstein milk
:
:
check this in the original equation
3.66 + .045(68) = .04(168)
3.66 + 3.06 = 6.72
Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.

butterfat + butterfat = butterfat 0.0366*100 + 0.045*J = 0.04*(100+J) (where J is the volume of the Jersey milk, in gallons) ====> 0.0366*100 + 0.045*J = 0.04*100 + 0.04*J 0.045*J - 0.04*J = 0.04*100 - 0.0366*100 = 0.34. 0.005*J = 0.34 ====> H = = 68 gallons. Check. 0.0366*100 + 0.045*68 = 6.72 buttermilk 0.04*(100+68) = 6.72 buttermilk. ! Correct ! Answer. 68 gallons of Jersey milk should be added to every 100 gallons of Holstein milk.

Solved.

--------------------
There is entire bunch of introductory lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
in this site.

You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization, from very detailed to very short.

Read them and become an expert in solution mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

RELATED QUESTIONS
A total of 3 Holstein cows and 3 Guernsey cows give as much milk in 3 days as 2 Holstein... (answered by ankor@dixie-net.com)
a dairy wishes to produce 225 gallons of a "low-fat" milk, which is 2% butterfat, by... (answered by josmiceli)
Wayne has milk that is 5% butterfat and skim milk without butterfat. How much 5% milk and (answered by robertb)
A dairy keeps two kinds of milk on hand, skim milk that has 0.2% butterfat and whole... (answered by ikleyn)
A dairy keeps two kinds of milk on hand, skim milk that has 0.3% butterfat and whole milk (answered by addingup)
I was told to get a second opinion on this question - Two gallons of milk contain 2%... (answered by LinnW)
How many gallons of milk that is 2% butterfat must be added with milk that is 3.5%... (answered by josgarithmetic)
How many gallons of milk that is 3 1/2% butterfat must be added to 80 gal of 1% butterfat (answered by ankor@dixie-net.com)
How many gallons of milk that is 3(1/2)% butterfat must be added to 80 gal of 1%... (answered by Fombitz)