contestada

Cal and Aaron are both re-doing their
landscaping and getting plants from the
same nursery. Cal bought I rose bush and 12
shrubs for $147, while Aaron bought 5 rose
bushes and 6 shrubs for $87. Find the cost of
one rose bush and one shrub.

Respuesta :

mhanifa

Answer:

  • Rose bush - $3 and shrub - $12

Step-by-step explanation:

Let rose bush = x, shrub = y

Equations:

  • x + 12y = 147
  • 5x + 6y = 87

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

  • 5x*2 +6y*2 - x - 12y = 87*2 - 147
  • 10x - x = 174 - 147
  • 9x = 27
  • x = 3

Find the value of y:

  • 3 + 12y = 147
  • 12y = 144
  • y = 12

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