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Another word problem  A dairy farmer wants to mix some buttermilk that is 12% butterfat with some that is 8% butterfat. If he wants to produce 100 gallons of buttermilk that is 9% butterfat, how much of each should he mix?
 one year ago
 one year ago
Another word problem  A dairy farmer wants to mix some buttermilk that is 12% butterfat with some that is 8% butterfat. If he wants to produce 100 gallons of buttermilk that is 9% butterfat, how much of each should he mix?
 one year ago
 one year ago

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HeroBest ResponseYou've already chosen the best response.1
Total gallons of buttermilk: x + y = 100 Total percentage of butterfat: .12x + .08y = .09(100) Solve the system
 one year ago

ChristaBBest ResponseYou've already chosen the best response.0
is it 12x + 8 (100  x) = 100 (9)  12x  800x = 900  788x=900  x=1.14
 one year ago

ChristaBBest ResponseYou've already chosen the best response.0
no.. that cant be it... the question asks for 'how much each should be"
 one year ago

HeroBest ResponseYou've already chosen the best response.1
x + y = 100 .12x + .08y = .09(100) x + y = 100 .12x + .08y = 9 .08x + .08y = 8 .12x + .08y = 9 .12x + .08y = 9 .08x  .08y = 8 .04x = 1 x = 1/.04 x = 25 y = 75
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
The final result is 100 gallons of 9% butterfat, so the farmer will have 9% of 100 gal = 9 gal of butterfat in the 100 gallons of 9% milk Let's call the amount of 8% milk x. Since the total amount will be 100 gal, the amount of 12% milk used will be 100  x. How much butterfat is there in x gallons of 8% milk? 0.08x How much butterfat is there in (100  x) gallons of 12% milk? 0.12(100  x) The fat from 8% milk + the fat from 12% milk = the fat in the 9% milk 0.08x + 0.12(100 x) = 9 0.08x + 12  0.12x = 9 0.04x = 3 x = 75 75 gallons of 8% milk, 25 gallons of 12% milk
 one year ago
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