FARM DAIRYING 451 



15 per cent. With the price of butter at 25 cents a pound, how much 



greater are his receipts a year now than formerly? 



250 lb. (fat per cow) X 10 = 2500 lb., fat for the herd 



2500 X .12 = 300, number of pounds overrun at 12% 



2500 (lb. fat) + 300 (lb. overrun) = 2800, number of pounds butter 



$.25 X 2800 = $700, value of butter with 12 % overrun 



2500 X .15 = 375, number of pounds Overrun at 15% 



2500 (lb. fat) + 375 (lb. overrun) = 2875, number of pounds butter 



$.25 X 2875 = $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 

 2500 X .03 = 75, number of pounds increase in overrun 

 $.25 x 75 = $18.75, increase in receipts. Answer. 



Butter yield of cream. 



Problem 17 



How much cream testing 30 per cent will it be necessary to churn in 

 order to produce 360 lb. of butter, overrun on fat 20 per cent ? 



Since there is an overrun of 20%, a certain number of pounds of fat 

 must have been multiplied by 1.20 in order to produce 360 lb. of butter. 



? lb. of fat X 1.20 = 360 



Therefore, 360 + 1.20 = 300, number of pounds of fat 



It now remains to find the number of pounds of 30% cream from 

 which the fat was taken. 



? lb. cream X .30 = 300 



Therefore, 300 -J- .30 = 1000, number of pounds of 30% cream. 

 Answer. 



