Elimination Method of Finding Solution of a Pair of Linear Equations
In a zoo ther...
Question
In a zoo there are some pigeons and some rabbits. If the total number of heads is 300 and the total number of legs is 750, then how many pigeons are there?
A
150
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B
175
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C
200
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D
225
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Solution
The correct option is C225
Let, the total number of pigeons be p and the total number of rabbits be r
Both the pigeons and rabbits has one head each
so, p+r=300 ...........................................(1)
Each pigeon has two legs and each rabbit has four legs
so, 2p+4r=750................................................(2)
Multiply by (1) by 4
Then 4p+4r=1200................................................(3)