SOLUTION: If 500 kg of meat feeds 20 lions at a zoo of a week for how many days will 200 kg of meat feed 14 lions?

Question 1016442: If 500 kg of meat feeds 20 lions at a zoo of a week for how many days will 200 kg of meat feed 14 lions?
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
A couple of ways to do this...here's one...
500 / 20 = 25 kg/lion feeds it for 7 days
200 / 14 = 14.286 kg/lion
Now set up a proportion

Cross-multiply and solve and get
25x = 100
x = 4 days
Another way would be to consider that 500 kg feeds 20*7 = 140 lion/days and go from there...
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The rates of consumption of meat is the same
in both cases, I will say the rate is
[ rate ] = [ kg of meat ] / [ number of lions x time period being fed ]
Now I can set the rates in both cases equal to eachother:
Let = number of days that 200 kg of meat will feed 14 lions

Divide both sides by

Multiply both sides by

200 kg of meat will feed 14 lions for 4 days
-------------------------------------
check:

OK
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