Question

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.

Answer 1

• Rose bush - $3 and shrub - $12

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