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Five chickens and three
donkeys cost £215.
Seven chickens and two
donkeys cost £202.
Find the cost of four
chickens and five
donkeys.

Sagot :

Mhanifaidn

Answer:

  • £289

=============================

Let the cost of chickens be c and donkeys be d.

We have equations according to given details:

  • 5c + 3d = 215,
  • 7c + 2d = 202.

Solve the system by elimination, multiply the first equation by 2 and the second one by 3, then subtract:

  • 2*5c + 2*3d - 3*7c - 3*2d = 2*215 - 3*202
  • 10c + 6d - 21c - 6d = 430 - 606
  • -11c = - 176
  • c = 176/11
  • c = 16

Find the value of d:

  • 5*16 + 3d = 215
  • 80 + 3d = 215
  • 3d = 135
  • d = 135/3
  • d = 45

Find the cost of 4 chickens and 5 donkeys:

  • 4*16 + 5*45 =
  • 64 + 225 =
  • 289
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