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ICSE Class 9 Answered

In the farmyard, there were some goats and chickens.When their number was counted, it was found that there were 60 heads and 148 legs.How many goats and how many chickens are there in the farmyard ?
Asked by nisha_vini29 | 28 May, 2018, 01:57: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space number space of space Goats space be space straight x space and space number space of space Chickens space be space straight y. Total space number space of space heads space are space 60. rightwards double arrow straight x space plus space straight y space equals space 60 space space.............. left parenthesis 1 right parenthesis There space are space 148 space legs. Each space goat space has space 4 space legs space and space each space Chicken space has space 2 space legs. rightwards double arrow 4 straight x space plus space 2 straight y space equals space 148 space space.......... left parenthesis 2 right parenthesis Multiply space space left parenthesis 1 right parenthesis space by space 2 comma space we space get 2 straight x space plus 2 straight y space equals space 120 space space space space space....................... left parenthesis 3 right parenthesis Subtarct space left parenthesis 3 right parenthesis space from space left parenthesis 2 right parenthesis comma space we space get 2 straight x space equals space 28 rightwards double arrow straight x space equals space 12 Substituting space straight x space equals space 12 space in space left parenthesis 1 right parenthesis comma space we space get straight y space equals space 48. Therefore space in space the space farmyard space there space are space 12 space Goats space and space 48 space Chickens. end style
Answered by Yasmeen Khan | 28 May, 2018, 03:26: PM

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