In a zoo, there are lions and ducks. If heads are counted, there are 200 and if legs are counted, there are 580. How many ducks are there?
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let no of lions be L
let no of sucks be D
L+D = 200 ( number of heads ) ... equation 1
since lions have 4 legs and sucks have to legs,
4L+2D = 580
Divide while equation by two
2L+D = 290 ... equation 2
equation 2 - equation 1
2L+D-L-D = 290-200
∴L = 90
∴ D = 200 - 90
∴ There are 110 ducks
let no of sucks be D
L+D = 200 ( number of heads ) ... equation 1
since lions have 4 legs and sucks have to legs,
4L+2D = 580
Divide while equation by two
2L+D = 290 ... equation 2
equation 2 - equation 1
2L+D-L-D = 290-200
∴L = 90
∴ D = 200 - 90
∴ There are 110 ducks
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