Practical Dairy Problems i535 



tive price for milk and cream it is best to reduce each to a fat-percentage 

 basis. 



Problem ij: 



Milk dealer X sells milk testing 4 per cent fat at 8 cents per quart. 

 For how much per quart should he sell cream testing 32 per cent fat in 

 order to receive a price for the cream that is relative in amount to the price 

 received for the milk? 



Milk dealer Y sells milk testing 3.5 per cent fat at 8 cents per quart. 

 How much should he receive per quart for cream testing 29 per cent fat, 

 that would be relative to the price of the milk? 



(X) 100 lbs. of 32% cream will contain 32 lbs. of fat (100 X .32 =32) 

 100 lbs. of 4% milk will contain 4 lbs. of fat (100 X .04 = 4) 

 Therefore, a given quantity of cream will contain 8 times as much 

 fat as the same quantity of milk (32 -j- 4 = 8). The cream should 

 therefore be worth 8 times as much as the milk. Since the milk sold 

 for 8 cents per quart, the cream should sell for 8 cents X 8, or 64 cents. 

 Answer. 



(Y) 100 lbs. of 29% cream will contain 29 lbs. of fat (100 X .29 = 29) 

 100 lbs. of 3.5% milk will contain 3.5 lbs. of fat (100 X .035 =3.5) 

 29 ^ 3-5 = 8.28 

 The cream should be worth 8.28 times as much as the milk, or 

 8 cents X 8.28, which is 66 cents. Answer. 



Problem 14: 



Which of the following is the most profitable method of disposing of 

 milk testing 4 per cent fat: (a) at 3^ cents per quart; (b) to a cheese 

 factory at $1.20 per 100 pounds (considering that 85 per cent of milk is 

 whey which is returned and is valued at 15 cents per 100 pounds); (c) 

 cream testing 21 per cent fat to a special trade at 18 cents per quart; 

 (d) cream testing 40 per cent fat to a creamery at 27 cents per pound for 

 the fat; (e) to make butter on the farm and sell it for 30 cents per pound 

 and the buttermilk for 10 cents per gallon, overrun 12 per cent? 



Note: In all cases consider the skimmed milk to be worth 18 cents per 100 pounds. 



(a) 100 (lbs. milk) -7- 2.15 (lbs. per qt.) =^ 46.5, number of quarts in 100 



lbs. milk 

 $.03^ X 46.5 = $1.62. Answer. 



(b) 100 X .85 = 85, number of pounds whey in 100 lbs. milk 

 15 cents X .85 = 12 cents, value of whey 



$1.20 (value of milk) + $.12 (value of whey) = $1.32. Answer. 



(c) 100 X .04 = 4, number of pounds fat in 100 lbs. milk 



4 (lbs. fat) -r- .21 (test of cream) = 19.04, number of pounds 

 cream 



