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if 270kg of corn would feed 42 horses for 21 days for how many days would 360kg of it feed 21 horses?

Sagot :

Use the first statement to solve for the constant k, 42 horses for 21 days can be fed with 270 kg of corn, then,

(Number of Horses)(Number of Days)k=Kilogram of Corn

[tex](42)(21)k=270[/tex]

[tex]882k=270[/tex]

[tex]k= \frac{270}{882} = \frac{15}{49} [/tex]




With k = 15/49, use the value for k in solving the number of days that 360 kg of corn would feed 21 horses. given the second statement.


[tex](21)(n)( \frac{15}{49}) =360[/tex]

[tex]n= \frac{(360)(49)}{(21)(15)} = \frac{17640}{315} =56[/tex]
n=56

Hence, 360 kg of corn would feed 21 horses in 56 days.