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?

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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) About Me  (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
25%2F7+=+14.286%2Fx
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) About Me  (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 +n+ = number of days that 200 kg of meat will feed 14 lions
+500+%2F+%28+20%2A7+%29+=+200+%2F+%28+14%2An+%29+
Divide both sides by +100+
+5+%2F+140+=+2+%2F+14n+
Multiply both sides by +140n+
+5n+=+20+
+n+=+4+
200 kg of meat will feed 14 lions for 4 days
-------------------------------------
check:
+5+%2F+140+=+2+%2F+14n+
+5+%2F+140+=+2+%2F+14%2A4+
+1+%2F+28+=+2+%2F+56+
+1%2F28+=+1+%2F+28+
OK