If 2 rabbits and 4 dogs cost $ 1750, three dogs and 2 cats cost $ 1725 and one cat and 3 rabbits cost $ 675. Find the price of each.
Let cost of 1 rabbit = R, cost of 1 dog = D, cost of 1 cat = C
Conditions
2R + 4D = 1750
D = ( 875 - R)/2 ------------(1)
3D + 2C = 1725 -----------(2)
C + 3R = 675
or, C = 675 - 3R -----------(3)
Substituting (1) and (3) in (2)
3(875 - R)/2 + 2(675 - 3R) =1725
or -3R - 12R = 1725 x 2 -4 x 675 - 3 x 875
or 15R = 1875
or R = 125
therefore C = 675 - 3R = 300
and D = 375
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Let cost of 1 rabbit = R, cost of 1 dog = D, cost of 1 cat = C
Conditions
2R + 4D = 1750
D = ( 875 - R)/2 ------------(1)
3D + 2C = 1725 -----------(2)
C + 3R = 675
or, C = 675 - 3R -----------(3)
Substituting (1) and (3) in (2)
3(875 - R)/2 + 2(675 - 3R) =1725
or -3R - 12R = 1725 x 2 -4 x 675 - 3 x 875
or 15R = 1875
or R = 125
therefore C = 675 - 3R = 300
and D = 375
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