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One goat costs 50 paise, one horse costs 3 rupees, and one elephant costs 10 rupees. The number of animals and the cost both should be 100. How?

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eginarrayl	extSuppose no. of goat, horse and elephant be X,Y 	extand Z 	extrespectively.\ 	extSo according to question, \ 	exttotal cost of goat =frac12	imes X 	extrupee\ 	extAccording to question, total cost of goat = frac12	imes X 	extrupee\ 	exttotal cost of horse =3Y\ 	extand cost of elephant = 10Z\ 	extSo,\ fracX2+3Y+10Z=100......left(1
ight)\ 	extAnd\ X+Y+Z=100......left(2
ight)\ 	extEliminating the above equations we will get\ 5Y+19Z=100\ left(	ext and now taking some value Z(0,1,2,3,4,5......
ight) 	extin a way that Y should come as whole no.\ 	extso we can conclude for \ Z=5,Y=1         	ext(No. of the animal should be the positive whole no.)\ 	extnow putting value of Z 	extand Y 	ext in eq. 1\ 	extwe will get X=94\ 	extHence no. of goat = 94, no. of horse = 1 and elephant will be 5\ \ endarray

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Deependra Verma

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