BUTTER-MAKING 



287 



Patron Number 



Pounds of Milk 



Test (Percentage) 



Pounds of Fat 



1 



1,500 



4.0 



60.00 



2 ...... . 



1,000 



3.9 



39.00 



3 . 



940 



4.2 



39.48 



4 



860 



3.8 



32.68 



5 



3,500 



5.0 



175.00 



6 



1,400 



4.5 



63.00 



i ' 



780 



4.7 



36.66 



8 



600 



4.6 



27.60 



9 



970 



4.3 



41.71 



10 



775 



3.9 



30.22 



Total 



545.35 







This gives a total of 545.35 lb. of fat delivered. With an overrun of 

 20 per cent there would be obtained from the 545.35 lb. of fat, 654.42 

 lb. of butter (545.35 X 1.20 = 654.42), which at 32 cents per pound 

 would equal $209.41 ($.32 X 654.42 = $209.41). Assume that the 

 cost of making the butter was $10. Subtracting this from $209.41, 

 there is left $199.41 to pay for the fat ($209.41 - $10.00= $199.41). 

 $199.41 -r- 545.35 = .36565, rate to be paid per pound of fat. Answer. 



Multiplying each patron's fat by this rate will give the money to be 

 paid each one. The amounts are shown in the following table : 



Patron 



Pounds of 



Rate 



Amount of 





Number 



Fat 



Payment 





1 . . . . 



60.00 



.36565 



$21.94 



Answer 



2 . 







39.00 



.36565 



14.26 



Answer 



3 . 







39.48 



.36565 



14.44 



Answer 



4 . 







32.68 



.36565 



11.95 



Answer 



5 . 







175.00 



.36565 



63.99 



Answer 



6 . 







63.00 



.36565 



23.04 



Answer 



7 . 







36.66 



.36565 



13.40 



Answer 



8 . 







27.60 



.36565 



10.09 



Answer 



9 . 







41.71 



.36565 



15.25 



Answer 



10 . 







30.22 



.36565 



11.05 



Answer 



The rate should always be carried to the fifth decimal place, and 

 when the fifth decimal place is a zero the rate should be carried to six 



