Practical Dairy Problems 1541 



Problem 22: 



(a) Butter-maker X has 1,000 pounds of cream testing 35 per cent fat. 

 From it he makes 400 pounds of butter. Compute the percentage of 

 overrun and the value of the overrun at 25 cents per pound. 



1,000 X -35 = 350, number of pounds fat 



400 (lbs. butter) — 350 (lbs. fat) == 50, weight in pounds of overrun 



50 -T- 350 = .142 



.142 X 100=14.2%, overrun. Answer. 



$.25 X 50 ^ $12.50, value of overrun. Answer. 



(b) Butter-maker Y is more careful in preventing leaks and wastes, 

 and he understands the butter-making business better than does X. 

 From 1,000 pounds of cream testing 35 per cent fat he makes 420 pounds 

 of butter. Compute the percentage of overrun and its value at 25 cents 

 per pound. 



1,000 X -35 == 350, number of pounds fat 



420 (lbs. butter) — 350 (lbs. fat) = 70, weight in pounds of overrun 



70 ~- 350 = .20 



.20 X 100 = 20%, overrun. Answer. 



$.25 X 7o = $i7.5o, value of overrun. Answer. 



Note: Butter-maker Y has made from the same amount of fat $5 worth more butter 

 than has X. 



Problem 2j: 



Mr. Smith has a herd of ten cows, from each of which he receives yearly 

 250 pounds of fat that he makes into butter. His average overrun was 

 1 2 per cent until he bought a moisture test and began to prevent some of 

 his losses. His average overrun is now 15 per cent. With the price of 

 butter at 25 cents per pound, how much greater are his receipts per year? 

 250 lbs. (fat per cow) X 10 •= 2,500 lbs., fat for the herd 

 2:5oo X .12 = 300, number of pounds overrun at 12% 

 2,500 (lbs. fat) -{- 300 (lbs. o errun) = 2,800, number of pounds butter 

 $.25 X 2,800 = $700, value of butter with 12% overrun 



2,500 X .15 = 375, number of pounds overrun at 15 



/o 



2,500 (lbs. fat) -f- 375 (lbs. overrun) = 2,875, number of pounds butter 

 $.25 X 2,875 = $718.75, value of butter with 15% overrun 

 $718.75 — $700.00 ^ $18.75, increase in receipts. Answer. 



A shorter method of solution: 



15% overrun — 12% overrun = 3%, increase in overrun 

 2,500 X .03 = 75, number of pounds increase in overrun 

 $•25 X 75 ^$18.75, increase in receipts. Answer. 



