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

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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(52790)   (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.

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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,
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Also, you have this free of charge online textbook in ALGEBRA-I in this site
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The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".

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